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Finding the Fourth Proportional to 16,545, 24,812.20 and 5,449.20

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Solution

The fourth proportional to 16,545, 24,812.20 and 5,449.20 is: 8,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545 : 24,812.20 = 5,449.20 : x
  2. Step 2: Convert to fraction form
    16,545/24,812.20 = 5,449.20/x
  3. Step 3: Cross multiply
    16,545x = 24,812.20 × 5,449.20
  4. Step 4: Simplify right side
    16,545x = 135,206,640.24
  5. Step 5: Solve for x
    x = 135,206,640.24/16,545
  6. Step 6: Final answer
    x = 8,172.05

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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.