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Finding the Fourth Proportional to 20,414, 28,171.32 and 11,582

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Solution

The fourth proportional to 20,414, 28,171.32 and 11,582 is: 15,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 28,171.32 = 11,582 : x
  2. Step 2: Convert to fraction form
    20,414/28,171.32 = 11,582/x
  3. Step 3: Cross multiply
    20,414x = 28,171.32 × 11,582
  4. Step 4: Simplify right side
    20,414x = 326,280,228.24
  5. Step 5: Solve for x
    x = 326,280,228.24/20,414
  6. Step 6: Final answer
    x = 15,983.16

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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.