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Finding the Fourth Proportional to 22,966.64, 31,691.28 and 12,892.88

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Solution

The fourth proportional to 22,966.64, 31,691.28 and 12,892.88 is: 17,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.64 : 31,691.28 = 12,892.88 : x
  2. Step 2: Convert to fraction form
    22,966.64/31,691.28 = 12,892.88/x
  3. Step 3: Cross multiply
    22,966.64x = 31,691.28 × 12,892.88
  4. Step 4: Simplify right side
    22,966.64x = 408,591,870.09
  5. Step 5: Solve for x
    x = 408,591,870.09/22,966.64
  6. Step 6: Final answer
    x = 17,790.67

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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.