Home / 2,207.10-3,311.37-974.82

Finding the Fourth Proportional to 2,207.10, 3,311.37 and 974.82

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Solution

The fourth proportional to 2,207.10, 3,311.37 and 974.82 is: 1,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.10 : 3,311.37 = 974.82 : x
  2. Step 2: Convert to fraction form
    2,207.10/3,311.37 = 974.82/x
  3. Step 3: Cross multiply
    2,207.10x = 3,311.37 × 974.82
  4. Step 4: Simplify right side
    2,207.10x = 3,227,989.70
  5. Step 5: Solve for x
    x = 3,227,989.70/2,207.10
  6. Step 6: Final answer
    x = 1,462.55

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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.