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Finding the Fourth Proportional to 16,666.38, 23,002.20 and 9,591.30

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Solution

The fourth proportional to 16,666.38, 23,002.20 and 9,591.30 is: 13,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,666.38 : 23,002.20 = 9,591.30 : x
  2. Step 2: Convert to fraction form
    16,666.38/23,002.20 = 9,591.30/x
  3. Step 3: Cross multiply
    16,666.38x = 23,002.20 × 9,591.30
  4. Step 4: Simplify right side
    16,666.38x = 220,621,000.86
  5. Step 5: Solve for x
    x = 220,621,000.86/16,666.38
  6. Step 6: Final answer
    x = 13,237.49

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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.