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Finding the Fourth Proportional to 7,757.77, 10,705.94 and 4,221.20

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Solution

The fourth proportional to 7,757.77, 10,705.94 and 4,221.20 is: 5,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.77 : 10,705.94 = 4,221.20 : x
  2. Step 2: Convert to fraction form
    7,757.77/10,705.94 = 4,221.20/x
  3. Step 3: Cross multiply
    7,757.77x = 10,705.94 × 4,221.20
  4. Step 4: Simplify right side
    7,757.77x = 45,191,951.25
  5. Step 5: Solve for x
    x = 45,191,951.25/7,757.77
  6. Step 6: Final answer
    x = 5,825.38

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Half scale
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Double scale
Find fourth proportional to 7,758.77, 10,707.32 and 4,222.20
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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.