Home / 2,206.46-3,311.01-974.86

Finding the Fourth Proportional to 2,206.46, 3,311.01 and 974.86

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Solution

The fourth proportional to 2,206.46, 3,311.01 and 974.86 is: 1,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.46 : 3,311.01 = 974.86 : x
  2. Step 2: Convert to fraction form
    2,206.46/3,311.01 = 974.86/x
  3. Step 3: Cross multiply
    2,206.46x = 3,311.01 × 974.86
  4. Step 4: Simplify right side
    2,206.46x = 3,227,762.93
  5. Step 5: Solve for x
    x = 3,227,762.93/2,206.46
  6. Step 6: Final answer
    x = 1,462.87

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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.