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Finding the Fourth Proportional to 8,641.97, 12,965.03 and 2,798.59

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Solution

The fourth proportional to 8,641.97, 12,965.03 and 2,798.59 is: 4,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.97 : 12,965.03 = 2,798.59 : x
  2. Step 2: Convert to fraction form
    8,641.97/12,965.03 = 2,798.59/x
  3. Step 3: Cross multiply
    8,641.97x = 12,965.03 × 2,798.59
  4. Step 4: Simplify right side
    8,641.97x = 36,283,789.31
  5. Step 5: Solve for x
    x = 36,283,789.31/8,641.97
  6. Step 6: Final answer
    x = 4,198.56

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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.