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Finding the Fourth Proportional to 8,159.85, 12,244.10 and 3,480.57

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Solution

The fourth proportional to 8,159.85, 12,244.10 and 3,480.57 is: 5,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.85 : 12,244.10 = 3,480.57 : x
  2. Step 2: Convert to fraction form
    8,159.85/12,244.10 = 3,480.57/x
  3. Step 3: Cross multiply
    8,159.85x = 12,244.10 × 3,480.57
  4. Step 4: Simplify right side
    8,159.85x = 42,616,429.73
  5. Step 5: Solve for x
    x = 42,616,429.73/8,159.85
  6. Step 6: Final answer
    x = 5,222.70

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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.