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Finding the Fourth Proportional to 15,991.32, 23,966.04 and 8,587.11

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Solution

The fourth proportional to 15,991.32, 23,966.04 and 8,587.11 is: 12,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.32 : 23,966.04 = 8,587.11 : x
  2. Step 2: Convert to fraction form
    15,991.32/23,966.04 = 8,587.11/x
  3. Step 3: Cross multiply
    15,991.32x = 23,966.04 × 8,587.11
  4. Step 4: Simplify right side
    15,991.32x = 205,799,021.74
  5. Step 5: Solve for x
    x = 205,799,021.74/15,991.32
  6. Step 6: Final answer
    x = 12,869.42

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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.