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Finding the Fourth Proportional to 8,378.92, 12,556.74 and 3,691.90

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Solution

The fourth proportional to 8,378.92, 12,556.74 and 3,691.90 is: 5,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.92 : 12,556.74 = 3,691.90 : x
  2. Step 2: Convert to fraction form
    8,378.92/12,556.74 = 3,691.90/x
  3. Step 3: Cross multiply
    8,378.92x = 12,556.74 × 3,691.90
  4. Step 4: Simplify right side
    8,378.92x = 46,358,228.41
  5. Step 5: Solve for x
    x = 46,358,228.41/8,378.92
  6. Step 6: Final answer
    x = 5,532.72

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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.