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Finding the Fourth Proportional to 15,231, 22,836.09 and 8,116.31

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Solution

The fourth proportional to 15,231, 22,836.09 and 8,116.31 is: 12,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231 : 22,836.09 = 8,116.31 : x
  2. Step 2: Convert to fraction form
    15,231/22,836.09 = 8,116.31/x
  3. Step 3: Cross multiply
    15,231x = 22,836.09 × 8,116.31
  4. Step 4: Simplify right side
    15,231x = 185,344,671.45
  5. Step 5: Solve for x
    x = 185,344,671.45/15,231
  6. Step 6: Final answer
    x = 12,168.91

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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.