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Finding the Fourth Proportional to 5,387.60, 8,059.80 and 4,869.20

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Solution

The fourth proportional to 5,387.60, 8,059.80 and 4,869.20 is: 7,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.60 : 8,059.80 = 4,869.20 : x
  2. Step 2: Convert to fraction form
    5,387.60/8,059.80 = 4,869.20/x
  3. Step 3: Cross multiply
    5,387.60x = 8,059.80 × 4,869.20
  4. Step 4: Simplify right side
    5,387.60x = 39,244,778.16
  5. Step 5: Solve for x
    x = 39,244,778.16/5,387.60
  6. Step 6: Final answer
    x = 7,284.28

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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.