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Finding the Fourth Proportional to 8,287.52, 12,427.60 and 4,391

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Solution

The fourth proportional to 8,287.52, 12,427.60 and 4,391 is: 6,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.52 : 12,427.60 = 4,391 : x
  2. Step 2: Convert to fraction form
    8,287.52/12,427.60 = 4,391/x
  3. Step 3: Cross multiply
    8,287.52x = 12,427.60 × 4,391
  4. Step 4: Simplify right side
    8,287.52x = 54,569,591.60
  5. Step 5: Solve for x
    x = 54,569,591.60/8,287.52
  6. Step 6: Final answer
    x = 6,584.55

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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.