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Finding the Fourth Proportional to 12,642.71, 18,934.49 and 9,992.43

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Solution

The fourth proportional to 12,642.71, 18,934.49 and 9,992.43 is: 14,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.71 : 18,934.49 = 9,992.43 : x
  2. Step 2: Convert to fraction form
    12,642.71/18,934.49 = 9,992.43/x
  3. Step 3: Cross multiply
    12,642.71x = 18,934.49 × 9,992.43
  4. Step 4: Simplify right side
    12,642.71x = 189,201,515.95
  5. Step 5: Solve for x
    x = 189,201,515.95/12,642.71
  6. Step 6: Final answer
    x = 14,965.27

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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.