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Finding the Fourth Proportional to 3,891.80, 5,834.72 and 1,945.38

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Solution

The fourth proportional to 3,891.80, 5,834.72 and 1,945.38 is: 2,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.80 : 5,834.72 = 1,945.38 : x
  2. Step 2: Convert to fraction form
    3,891.80/5,834.72 = 1,945.38/x
  3. Step 3: Cross multiply
    3,891.80x = 5,834.72 × 1,945.38
  4. Step 4: Simplify right side
    3,891.80x = 11,350,747.59
  5. Step 5: Solve for x
    x = 11,350,747.59/3,891.80
  6. Step 6: Final answer
    x = 2,916.58

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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.