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Finding the Fourth Proportional to 15,766.78, 21,757.74 and 8,693.02

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Solution

The fourth proportional to 15,766.78, 21,757.74 and 8,693.02 is: 11,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.78 : 21,757.74 = 8,693.02 : x
  2. Step 2: Convert to fraction form
    15,766.78/21,757.74 = 8,693.02/x
  3. Step 3: Cross multiply
    15,766.78x = 21,757.74 × 8,693.02
  4. Step 4: Simplify right side
    15,766.78x = 189,140,468.97
  5. Step 5: Solve for x
    x = 189,140,468.97/15,766.78
  6. Step 6: Final answer
    x = 11,996.14

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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.