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Finding the Fourth Proportional to 10,502.98, 15,757.20 and 3,929.68

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Solution

The fourth proportional to 10,502.98, 15,757.20 and 3,929.68 is: 5,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.98 : 15,757.20 = 3,929.68 : x
  2. Step 2: Convert to fraction form
    10,502.98/15,757.20 = 3,929.68/x
  3. Step 3: Cross multiply
    10,502.98x = 15,757.20 × 3,929.68
  4. Step 4: Simplify right side
    10,502.98x = 61,920,773.39
  5. Step 5: Solve for x
    x = 61,920,773.39/10,502.98
  6. Step 6: Final answer
    x = 5,895.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.