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Finding the Fourth Proportional to 8,641.98, 12,965.02 and 2,798.58

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Solution

The fourth proportional to 8,641.98, 12,965.02 and 2,798.58 is: 4,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.98 : 12,965.02 = 2,798.58 : x
  2. Step 2: Convert to fraction form
    8,641.98/12,965.02 = 2,798.58/x
  3. Step 3: Cross multiply
    8,641.98x = 12,965.02 × 2,798.58
  4. Step 4: Simplify right side
    8,641.98x = 36,283,645.67
  5. Step 5: Solve for x
    x = 36,283,645.67/8,641.98
  6. Step 6: Final answer
    x = 4,198.53

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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.