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Finding the Fourth Proportional to 2,123.92, 3,182.21 and 1,150.70

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Solution

The fourth proportional to 2,123.92, 3,182.21 and 1,150.70 is: 1,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.92 : 3,182.21 = 1,150.70 : x
  2. Step 2: Convert to fraction form
    2,123.92/3,182.21 = 1,150.70/x
  3. Step 3: Cross multiply
    2,123.92x = 3,182.21 × 1,150.70
  4. Step 4: Simplify right side
    2,123.92x = 3,661,763.29
  5. Step 5: Solve for x
    x = 3,661,763.29/2,123.92
  6. Step 6: Final answer
    x = 1,724.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.