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Finding the Fourth Proportional to 7,757.94, 10,706.07 and 4,221.15

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Solution

The fourth proportional to 7,757.94, 10,706.07 and 4,221.15 is: 5,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.94 : 10,706.07 = 4,221.15 : x
  2. Step 2: Convert to fraction form
    7,757.94/10,706.07 = 4,221.15/x
  3. Step 3: Cross multiply
    7,757.94x = 10,706.07 × 4,221.15
  4. Step 4: Simplify right side
    7,757.94x = 45,191,927.38
  5. Step 5: Solve for x
    x = 45,191,927.38/7,757.94
  6. Step 6: Final answer
    x = 5,825.25

Related Problems

Find fourth proportional to 3,878.97, 5,353.04 and 2,110.58
Half scale
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Double scale
Find fourth proportional to 7,758.94, 10,707.45 and 4,222.15
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.