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Finding the Fourth Proportional to 3,785.52, 5,679 and 1,837.56

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Solution

The fourth proportional to 3,785.52, 5,679 and 1,837.56 is: 2,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.52 : 5,679 = 1,837.56 : x
  2. Step 2: Convert to fraction form
    3,785.52/5,679 = 1,837.56/x
  3. Step 3: Cross multiply
    3,785.52x = 5,679 × 1,837.56
  4. Step 4: Simplify right side
    3,785.52x = 10,435,503.24
  5. Step 5: Solve for x
    x = 10,435,503.24/3,785.52
  6. Step 6: Final answer
    x = 2,756.69

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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.