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Finding the Fourth Proportional to 2,092.74, 3,139.65 and 706.38

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Solution

The fourth proportional to 2,092.74, 3,139.65 and 706.38 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.74 : 3,139.65 = 706.38 : x
  2. Step 2: Convert to fraction form
    2,092.74/3,139.65 = 706.38/x
  3. Step 3: Cross multiply
    2,092.74x = 3,139.65 × 706.38
  4. Step 4: Simplify right side
    2,092.74x = 2,217,785.97
  5. Step 5: Solve for x
    x = 2,217,785.97/2,092.74
  6. Step 6: Final answer
    x = 1,059.75

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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.