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Finding the Fourth Proportional to 8,882.40, 13,310.64 and 4,987.92

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Solution

The fourth proportional to 8,882.40, 13,310.64 and 4,987.92 is: 7,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.40 : 13,310.64 = 4,987.92 : x
  2. Step 2: Convert to fraction form
    8,882.40/13,310.64 = 4,987.92/x
  3. Step 3: Cross multiply
    8,882.40x = 13,310.64 × 4,987.92
  4. Step 4: Simplify right side
    8,882.40x = 66,392,407.47
  5. Step 5: Solve for x
    x = 66,392,407.47/8,882.40
  6. Step 6: Final answer
    x = 7,474.60

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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.