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Finding the Fourth Proportional to 3,785.43, 5,678.13 and 1,837.92

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Solution

The fourth proportional to 3,785.43, 5,678.13 and 1,837.92 is: 2,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.43 : 5,678.13 = 1,837.92 : x
  2. Step 2: Convert to fraction form
    3,785.43/5,678.13 = 1,837.92/x
  3. Step 3: Cross multiply
    3,785.43x = 5,678.13 × 1,837.92
  4. Step 4: Simplify right side
    3,785.43x = 10,435,948.69
  5. Step 5: Solve for x
    x = 10,435,948.69/3,785.43
  6. Step 6: Final answer
    x = 2,756.87

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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.