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Finding the Fourth Proportional to 16,920, 25,379.76 and 6,531.52

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Solution

The fourth proportional to 16,920, 25,379.76 and 6,531.52 is: 9,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920 : 25,379.76 = 6,531.52 : x
  2. Step 2: Convert to fraction form
    16,920/25,379.76 = 6,531.52/x
  3. Step 3: Cross multiply
    16,920x = 25,379.76 × 6,531.52
  4. Step 4: Simplify right side
    16,920x = 165,768,410.04
  5. Step 5: Solve for x
    x = 165,768,410.04/16,920
  6. Step 6: Final answer
    x = 9,797.19

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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.