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Finding the Fourth Proportional to 16,820, 25,229.52 and 5,131.52

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Solution

The fourth proportional to 16,820, 25,229.52 and 5,131.52 is: 7,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820 : 25,229.52 = 5,131.52 : x
  2. Step 2: Convert to fraction form
    16,820/25,229.52 = 5,131.52/x
  3. Step 3: Cross multiply
    16,820x = 25,229.52 × 5,131.52
  4. Step 4: Simplify right side
    16,820x = 129,465,786.47
  5. Step 5: Solve for x
    x = 129,465,786.47/16,820
  6. Step 6: Final answer
    x = 7,697.13

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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.