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Finding the Fourth Proportional to 8,830.64, 13,243.80 and 2,987.12

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Solution

The fourth proportional to 8,830.64, 13,243.80 and 2,987.12 is: 4,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.64 : 13,243.80 = 2,987.12 : x
  2. Step 2: Convert to fraction form
    8,830.64/13,243.80 = 2,987.12/x
  3. Step 3: Cross multiply
    8,830.64x = 13,243.80 × 2,987.12
  4. Step 4: Simplify right side
    8,830.64x = 39,560,819.86
  5. Step 5: Solve for x
    x = 39,560,819.86/8,830.64
  6. Step 6: Final answer
    x = 4,479.95

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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.