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Finding the Fourth Proportional to 7,494.87, 10,342.38 and 4,137.69

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Solution

The fourth proportional to 7,494.87, 10,342.38 and 4,137.69 is: 5,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.87 : 10,342.38 = 4,137.69 : x
  2. Step 2: Convert to fraction form
    7,494.87/10,342.38 = 4,137.69/x
  3. Step 3: Cross multiply
    7,494.87x = 10,342.38 × 4,137.69
  4. Step 4: Simplify right side
    7,494.87x = 42,793,562.30
  5. Step 5: Solve for x
    x = 42,793,562.30/7,494.87
  6. Step 6: Final answer
    x = 5,709.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.