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Finding the Fourth Proportional to 8,080, 12,098.88 and 5,470.72

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Solution

The fourth proportional to 8,080, 12,098.88 and 5,470.72 is: 8,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080 : 12,098.88 = 5,470.72 : x
  2. Step 2: Convert to fraction form
    8,080/12,098.88 = 5,470.72/x
  3. Step 3: Cross multiply
    8,080x = 12,098.88 × 5,470.72
  4. Step 4: Simplify right side
    8,080x = 66,189,584.79
  5. Step 5: Solve for x
    x = 66,189,584.79/8,080
  6. Step 6: Final answer
    x = 8,191.78

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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.