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Finding the Fourth Proportional to 2,166.38, 3,250.05 and 1,011.50

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Solution

The fourth proportional to 2,166.38, 3,250.05 and 1,011.50 is: 1,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.38 : 3,250.05 = 1,011.50 : x
  2. Step 2: Convert to fraction form
    2,166.38/3,250.05 = 1,011.50/x
  3. Step 3: Cross multiply
    2,166.38x = 3,250.05 × 1,011.50
  4. Step 4: Simplify right side
    2,166.38x = 3,287,425.58
  5. Step 5: Solve for x
    x = 3,287,425.58/2,166.38
  6. Step 6: Final answer
    x = 1,517.47

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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.