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Finding the Fourth Proportional to 3,760.53, 5,640.33 and 1,913.02

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Solution

The fourth proportional to 3,760.53, 5,640.33 and 1,913.02 is: 2,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.53 : 5,640.33 = 1,913.02 : x
  2. Step 2: Convert to fraction form
    3,760.53/5,640.33 = 1,913.02/x
  3. Step 3: Cross multiply
    3,760.53x = 5,640.33 × 1,913.02
  4. Step 4: Simplify right side
    3,760.53x = 10,790,057.17
  5. Step 5: Solve for x
    x = 10,790,057.17/3,760.53
  6. Step 6: Final answer
    x = 2,869.29

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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.