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Finding the Fourth Proportional to 2,166.87, 3,250.85 and 706.17

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Solution

The fourth proportional to 2,166.87, 3,250.85 and 706.17 is: 1,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.87 : 3,250.85 = 706.17 : x
  2. Step 2: Convert to fraction form
    2,166.87/3,250.85 = 706.17/x
  3. Step 3: Cross multiply
    2,166.87x = 3,250.85 × 706.17
  4. Step 4: Simplify right side
    2,166.87x = 2,295,649.21
  5. Step 5: Solve for x
    x = 2,295,649.21/2,166.87
  6. Step 6: Final answer
    x = 1,059.43

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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.