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Finding the Fourth Proportional to 7,390.92, 11,078.28 and 3,645.24

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Solution

The fourth proportional to 7,390.92, 11,078.28 and 3,645.24 is: 5,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.92 : 11,078.28 = 3,645.24 : x
  2. Step 2: Convert to fraction form
    7,390.92/11,078.28 = 3,645.24/x
  3. Step 3: Cross multiply
    7,390.92x = 11,078.28 × 3,645.24
  4. Step 4: Simplify right side
    7,390.92x = 40,382,989.39
  5. Step 5: Solve for x
    x = 40,382,989.39/7,390.92
  6. Step 6: Final answer
    x = 5,463.87

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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.