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Finding the Fourth Proportional to 12,542.47, 18,814.07 and 6,992.71

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Solution

The fourth proportional to 12,542.47, 18,814.07 and 6,992.71 is: 10,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.47 : 18,814.07 = 6,992.71 : x
  2. Step 2: Convert to fraction form
    12,542.47/18,814.07 = 6,992.71/x
  3. Step 3: Cross multiply
    12,542.47x = 18,814.07 × 6,992.71
  4. Step 4: Simplify right side
    12,542.47x = 131,561,335.43
  5. Step 5: Solve for x
    x = 131,561,335.43/12,542.47
  6. Step 6: Final answer
    x = 10,489.27

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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.