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Finding the Fourth Proportional to 15,687, 21,652.92 and 10,098

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Solution

The fourth proportional to 15,687, 21,652.92 and 10,098 is: 13,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687 : 21,652.92 = 10,098 : x
  2. Step 2: Convert to fraction form
    15,687/21,652.92 = 10,098/x
  3. Step 3: Cross multiply
    15,687x = 21,652.92 × 10,098
  4. Step 4: Simplify right side
    15,687x = 218,651,186.16
  5. Step 5: Solve for x
    x = 218,651,186.16/15,687
  6. Step 6: Final answer
    x = 13,938.37

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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.