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Finding the Fourth Proportional to 16,419.38, 22,658.76 and 9,345.80

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Solution

The fourth proportional to 16,419.38, 22,658.76 and 9,345.80 is: 12,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.38 : 22,658.76 = 9,345.80 : x
  2. Step 2: Convert to fraction form
    16,419.38/22,658.76 = 9,345.80/x
  3. Step 3: Cross multiply
    16,419.38x = 22,658.76 × 9,345.80
  4. Step 4: Simplify right side
    16,419.38x = 211,764,194.68
  5. Step 5: Solve for x
    x = 211,764,194.68/16,419.38
  6. Step 6: Final answer
    x = 12,897.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.