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Finding the Fourth Proportional to 12,642.40, 18,956.40 and 8,747.20

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Solution

The fourth proportional to 12,642.40, 18,956.40 and 8,747.20 is: 13,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.40 : 18,956.40 = 8,747.20 : x
  2. Step 2: Convert to fraction form
    12,642.40/18,956.40 = 8,747.20/x
  3. Step 3: Cross multiply
    12,642.40x = 18,956.40 × 8,747.20
  4. Step 4: Simplify right side
    12,642.40x = 165,815,422.08
  5. Step 5: Solve for x
    x = 165,815,422.08/12,642.40
  6. Step 6: Final answer
    x = 13,115.82

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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.