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Finding the Fourth Proportional to 5,132.80, 7,702.80 and 2,213.20

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Solution

The fourth proportional to 5,132.80, 7,702.80 and 2,213.20 is: 3,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.80 : 7,702.80 = 2,213.20 : x
  2. Step 2: Convert to fraction form
    5,132.80/7,702.80 = 2,213.20/x
  3. Step 3: Cross multiply
    5,132.80x = 7,702.80 × 2,213.20
  4. Step 4: Simplify right side
    5,132.80x = 17,047,836.96
  5. Step 5: Solve for x
    x = 17,047,836.96/5,132.80
  6. Step 6: Final answer
    x = 3,321.35

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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.