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Finding the Fourth Proportional to 8,329.17, 12,499.95 and 3,946.65

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Solution

The fourth proportional to 8,329.17, 12,499.95 and 3,946.65 is: 5,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.17 : 12,499.95 = 3,946.65 : x
  2. Step 2: Convert to fraction form
    8,329.17/12,499.95 = 3,946.65/x
  3. Step 3: Cross multiply
    8,329.17x = 12,499.95 × 3,946.65
  4. Step 4: Simplify right side
    8,329.17x = 49,332,845.43
  5. Step 5: Solve for x
    x = 49,332,845.43/8,329.17
  6. Step 6: Final answer
    x = 5,922.90

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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.