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Finding the Fourth Proportional to 9,976, 13,766.88 and 5,499.52

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Solution

The fourth proportional to 9,976, 13,766.88 and 5,499.52 is: 7,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976 : 13,766.88 = 5,499.52 : x
  2. Step 2: Convert to fraction form
    9,976/13,766.88 = 5,499.52/x
  3. Step 3: Cross multiply
    9,976x = 13,766.88 × 5,499.52
  4. Step 4: Simplify right side
    9,976x = 75,711,231.90
  5. Step 5: Solve for x
    x = 75,711,231.90/9,976
  6. Step 6: Final answer
    x = 7,589.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.