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Finding the Fourth Proportional to 10,539.65, 15,829.97 and 7,755.32

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Solution

The fourth proportional to 10,539.65, 15,829.97 and 7,755.32 is: 11,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.65 : 15,829.97 = 7,755.32 : x
  2. Step 2: Convert to fraction form
    10,539.65/15,829.97 = 7,755.32/x
  3. Step 3: Cross multiply
    10,539.65x = 15,829.97 × 7,755.32
  4. Step 4: Simplify right side
    10,539.65x = 122,766,483.74
  5. Step 5: Solve for x
    x = 122,766,483.74/10,539.65
  6. Step 6: Final answer
    x = 11,648.06

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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.