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Finding the Fourth Proportional to 5,584.20, 8,375.70 and 1,480.20

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Solution

The fourth proportional to 5,584.20, 8,375.70 and 1,480.20 is: 2,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.20 : 8,375.70 = 1,480.20 : x
  2. Step 2: Convert to fraction form
    5,584.20/8,375.70 = 1,480.20/x
  3. Step 3: Cross multiply
    5,584.20x = 8,375.70 × 1,480.20
  4. Step 4: Simplify right side
    5,584.20x = 12,397,711.14
  5. Step 5: Solve for x
    x = 12,397,711.14/5,584.20
  6. Step 6: Final answer
    x = 2,220.14

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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.