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Finding the Fourth Proportional to 2,128.38, 3,194.02 and 741.71

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Solution

The fourth proportional to 2,128.38, 3,194.02 and 741.71 is: 1,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.38 : 3,194.02 = 741.71 : x
  2. Step 2: Convert to fraction form
    2,128.38/3,194.02 = 741.71/x
  3. Step 3: Cross multiply
    2,128.38x = 3,194.02 × 741.71
  4. Step 4: Simplify right side
    2,128.38x = 2,369,036.57
  5. Step 5: Solve for x
    x = 2,369,036.57/2,128.38
  6. Step 6: Final answer
    x = 1,113.07

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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.