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Finding the Fourth Proportional to 3,785.41, 5,678.13 and 1,837.90

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Solution

The fourth proportional to 3,785.41, 5,678.13 and 1,837.90 is: 2,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.41 : 5,678.13 = 1,837.90 : x
  2. Step 2: Convert to fraction form
    3,785.41/5,678.13 = 1,837.90/x
  3. Step 3: Cross multiply
    3,785.41x = 5,678.13 × 1,837.90
  4. Step 4: Simplify right side
    3,785.41x = 10,435,835.13
  5. Step 5: Solve for x
    x = 10,435,835.13/3,785.41
  6. Step 6: Final answer
    x = 2,756.86

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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.