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Finding the Fourth Proportional to 8,644.60, 12,966.90 and 2,805.28

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Solution

The fourth proportional to 8,644.60, 12,966.90 and 2,805.28 is: 4,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.60 : 12,966.90 = 2,805.28 : x
  2. Step 2: Convert to fraction form
    8,644.60/12,966.90 = 2,805.28/x
  3. Step 3: Cross multiply
    8,644.60x = 12,966.90 × 2,805.28
  4. Step 4: Simplify right side
    8,644.60x = 36,375,785.23
  5. Step 5: Solve for x
    x = 36,375,785.23/8,644.60
  6. Step 6: Final answer
    x = 4,207.92

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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.