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Finding the Fourth Proportional to 5,385.80, 8,078.81 and 1,687.95

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Solution

The fourth proportional to 5,385.80, 8,078.81 and 1,687.95 is: 2,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.80 : 8,078.81 = 1,687.95 : x
  2. Step 2: Convert to fraction form
    5,385.80/8,078.81 = 1,687.95/x
  3. Step 3: Cross multiply
    5,385.80x = 8,078.81 × 1,687.95
  4. Step 4: Simplify right side
    5,385.80x = 13,636,618.90
  5. Step 5: Solve for x
    x = 13,636,618.90/5,385.80
  6. Step 6: Final answer
    x = 2,531.96

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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.