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Finding the Fourth Proportional to 10,920.80, 16,387.14 and 4,764.80

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Solution

The fourth proportional to 10,920.80, 16,387.14 and 4,764.80 is: 7,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.80 : 16,387.14 = 4,764.80 : x
  2. Step 2: Convert to fraction form
    10,920.80/16,387.14 = 4,764.80/x
  3. Step 3: Cross multiply
    10,920.80x = 16,387.14 × 4,764.80
  4. Step 4: Simplify right side
    10,920.80x = 78,081,444.67
  5. Step 5: Solve for x
    x = 78,081,444.67/10,920.80
  6. Step 6: Final answer
    x = 7,149.79

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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.