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Finding the Fourth Proportional to 7,758.41, 10,706.63 and 4,221.63

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Solution

The fourth proportional to 7,758.41, 10,706.63 and 4,221.63 is: 5,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.41 : 10,706.63 = 4,221.63 : x
  2. Step 2: Convert to fraction form
    7,758.41/10,706.63 = 4,221.63/x
  3. Step 3: Cross multiply
    7,758.41x = 10,706.63 × 4,221.63
  4. Step 4: Simplify right side
    7,758.41x = 45,199,409.30
  5. Step 5: Solve for x
    x = 45,199,409.30/7,758.41
  6. Step 6: Final answer
    x = 5,825.86

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Half scale
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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.