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Finding the Fourth Proportional to 8,644.38, 12,966.48 and 2,800.86

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Solution

The fourth proportional to 8,644.38, 12,966.48 and 2,800.86 is: 4,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.38 : 12,966.48 = 2,800.86 : x
  2. Step 2: Convert to fraction form
    8,644.38/12,966.48 = 2,800.86/x
  3. Step 3: Cross multiply
    8,644.38x = 12,966.48 × 2,800.86
  4. Step 4: Simplify right side
    8,644.38x = 36,317,295.17
  5. Step 5: Solve for x
    x = 36,317,295.17/8,644.38
  6. Step 6: Final answer
    x = 4,201.26

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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.