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Finding the Fourth Proportional to 21,140.62, 31,713.36 and 12,375.62

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Solution

The fourth proportional to 21,140.62, 31,713.36 and 12,375.62 is: 18,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.62 : 31,713.36 = 12,375.62 : x
  2. Step 2: Convert to fraction form
    21,140.62/31,713.36 = 12,375.62/x
  3. Step 3: Cross multiply
    21,140.62x = 31,713.36 × 12,375.62
  4. Step 4: Simplify right side
    21,140.62x = 392,472,492.28
  5. Step 5: Solve for x
    x = 392,472,492.28/21,140.62
  6. Step 6: Final answer
    x = 18,564.85

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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.