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Finding the Fourth Proportional to 12,446.40, 18,691.20 and 6,614.40

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Solution

The fourth proportional to 12,446.40, 18,691.20 and 6,614.40 is: 9,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.40 : 18,691.20 = 6,614.40 : x
  2. Step 2: Convert to fraction form
    12,446.40/18,691.20 = 6,614.40/x
  3. Step 3: Cross multiply
    12,446.40x = 18,691.20 × 6,614.40
  4. Step 4: Simplify right side
    12,446.40x = 123,631,073.28
  5. Step 5: Solve for x
    x = 123,631,073.28/12,446.40
  6. Step 6: Final answer
    x = 9,933.08

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1.5x scale

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.