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Finding the Fourth Proportional to 17,871.86, 24,666.13 and 9,916.65

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Solution

The fourth proportional to 17,871.86, 24,666.13 and 9,916.65 is: 13,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.86 : 24,666.13 = 9,916.65 : x
  2. Step 2: Convert to fraction form
    17,871.86/24,666.13 = 9,916.65/x
  3. Step 3: Cross multiply
    17,871.86x = 24,666.13 × 9,916.65
  4. Step 4: Simplify right side
    17,871.86x = 244,605,378.06
  5. Step 5: Solve for x
    x = 244,605,378.06/17,871.86
  6. Step 6: Final answer
    x = 13,686.62

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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.