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Finding the Fourth Proportional to 3,011.80, 4,516.80 and 1,162.78

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Solution

The fourth proportional to 3,011.80, 4,516.80 and 1,162.78 is: 1,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.80 : 4,516.80 = 1,162.78 : x
  2. Step 2: Convert to fraction form
    3,011.80/4,516.80 = 1,162.78/x
  3. Step 3: Cross multiply
    3,011.80x = 4,516.80 × 1,162.78
  4. Step 4: Simplify right side
    3,011.80x = 5,252,044.70
  5. Step 5: Solve for x
    x = 5,252,044.70/3,011.80
  6. Step 6: Final answer
    x = 1,743.82

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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.