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Finding the Fourth Proportional to 8,329.78, 12,491 and 3,132

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Solution

The fourth proportional to 8,329.78, 12,491 and 3,132 is: 4,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.78 : 12,491 = 3,132 : x
  2. Step 2: Convert to fraction form
    8,329.78/12,491 = 3,132/x
  3. Step 3: Cross multiply
    8,329.78x = 12,491 × 3,132
  4. Step 4: Simplify right side
    8,329.78x = 39,121,812
  5. Step 5: Solve for x
    x = 39,121,812/8,329.78
  6. Step 6: Final answer
    x = 4,696.62

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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.