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Finding the Fourth Proportional to 16,481, 24,720.74 and 5,386.30

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Solution

The fourth proportional to 16,481, 24,720.74 and 5,386.30 is: 8,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481 : 24,720.74 = 5,386.30 : x
  2. Step 2: Convert to fraction form
    16,481/24,720.74 = 5,386.30/x
  3. Step 3: Cross multiply
    16,481x = 24,720.74 × 5,386.30
  4. Step 4: Simplify right side
    16,481x = 133,153,321.86
  5. Step 5: Solve for x
    x = 133,153,321.86/16,481
  6. Step 6: Final answer
    x = 8,079.20

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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.