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Finding the Fourth Proportional to 3,011.70, 4,516.20 and 1,162.20

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Solution

The fourth proportional to 3,011.70, 4,516.20 and 1,162.20 is: 1,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.70 : 4,516.20 = 1,162.20 : x
  2. Step 2: Convert to fraction form
    3,011.70/4,516.20 = 1,162.20/x
  3. Step 3: Cross multiply
    3,011.70x = 4,516.20 × 1,162.20
  4. Step 4: Simplify right side
    3,011.70x = 5,248,727.64
  5. Step 5: Solve for x
    x = 5,248,727.64/3,011.70
  6. Step 6: Final answer
    x = 1,742.78

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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.