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Finding the Fourth Proportional to 2,166.87, 3,250.71 and 761.43

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Solution

The fourth proportional to 2,166.87, 3,250.71 and 761.43 is: 1,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.87 : 3,250.71 = 761.43 : x
  2. Step 2: Convert to fraction form
    2,166.87/3,250.71 = 761.43/x
  3. Step 3: Cross multiply
    2,166.87x = 3,250.71 × 761.43
  4. Step 4: Simplify right side
    2,166.87x = 2,475,188.12
  5. Step 5: Solve for x
    x = 2,475,188.12/2,166.87
  6. Step 6: Final answer
    x = 1,142.29

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1.5x scale

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.