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Finding the Fourth Proportional to 8,179.84, 12,269.76 and 3,562.84

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Solution

The fourth proportional to 8,179.84, 12,269.76 and 3,562.84 is: 5,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.84 : 12,269.76 = 3,562.84 : x
  2. Step 2: Convert to fraction form
    8,179.84/12,269.76 = 3,562.84/x
  3. Step 3: Cross multiply
    8,179.84x = 12,269.76 × 3,562.84
  4. Step 4: Simplify right side
    8,179.84x = 43,715,191.72
  5. Step 5: Solve for x
    x = 43,715,191.72/8,179.84
  6. Step 6: Final answer
    x = 5,344.26

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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.