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Finding the Fourth Proportional to 12,614.61, 18,938.40 and 8,473.08

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Solution

The fourth proportional to 12,614.61, 18,938.40 and 8,473.08 is: 12,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.61 : 18,938.40 = 8,473.08 : x
  2. Step 2: Convert to fraction form
    12,614.61/18,938.40 = 8,473.08/x
  3. Step 3: Cross multiply
    12,614.61x = 18,938.40 × 8,473.08
  4. Step 4: Simplify right side
    12,614.61x = 160,466,578.27
  5. Step 5: Solve for x
    x = 160,466,578.27/12,614.61
  6. Step 6: Final answer
    x = 12,720.69

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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.