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Finding the Fourth Proportional to 3,902.50, 5,385.49 and 2,246.50

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Solution

The fourth proportional to 3,902.50, 5,385.49 and 2,246.50 is: 3,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.50 : 5,385.49 = 2,246.50 : x
  2. Step 2: Convert to fraction form
    3,902.50/5,385.49 = 2,246.50/x
  3. Step 3: Cross multiply
    3,902.50x = 5,385.49 × 2,246.50
  4. Step 4: Simplify right side
    3,902.50x = 12,098,503.29
  5. Step 5: Solve for x
    x = 12,098,503.29/3,902.50
  6. Step 6: Final answer
    x = 3,100.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.