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Finding the Fourth Proportional to 8,329.87, 12,491.73 and 2,781.73

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Solution

The fourth proportional to 8,329.87, 12,491.73 and 2,781.73 is: 4,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.87 : 12,491.73 = 2,781.73 : x
  2. Step 2: Convert to fraction form
    8,329.87/12,491.73 = 2,781.73/x
  3. Step 3: Cross multiply
    8,329.87x = 12,491.73 × 2,781.73
  4. Step 4: Simplify right side
    8,329.87x = 34,748,588.86
  5. Step 5: Solve for x
    x = 34,748,588.86/8,329.87
  6. Step 6: Final answer
    x = 4,171.57

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1.5x scale

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.