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Finding the Fourth Proportional to 3,179.92, 4,770.84 and 1,536.16

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Solution

The fourth proportional to 3,179.92, 4,770.84 and 1,536.16 is: 2,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.92 : 4,770.84 = 1,536.16 : x
  2. Step 2: Convert to fraction form
    3,179.92/4,770.84 = 1,536.16/x
  3. Step 3: Cross multiply
    3,179.92x = 4,770.84 × 1,536.16
  4. Step 4: Simplify right side
    3,179.92x = 7,328,773.57
  5. Step 5: Solve for x
    x = 7,328,773.57/3,179.92
  6. Step 6: Final answer
    x = 2,304.70

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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.