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Finding the Fourth Proportional to 16,394, 22,624.36 and 9,321.68

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Solution

The fourth proportional to 16,394, 22,624.36 and 9,321.68 is: 12,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394 : 22,624.36 = 9,321.68 : x
  2. Step 2: Convert to fraction form
    16,394/22,624.36 = 9,321.68/x
  3. Step 3: Cross multiply
    16,394x = 22,624.36 × 9,321.68
  4. Step 4: Simplify right side
    16,394x = 210,897,044.12
  5. Step 5: Solve for x
    x = 210,897,044.12/16,394
  6. Step 6: Final answer
    x = 12,864.28

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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.