Home / 2,207.40-3,311.13-974.52

Finding the Fourth Proportional to 2,207.40, 3,311.13 and 974.52

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Solution

The fourth proportional to 2,207.40, 3,311.13 and 974.52 is: 1,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.40 : 3,311.13 = 974.52 : x
  2. Step 2: Convert to fraction form
    2,207.40/3,311.13 = 974.52/x
  3. Step 3: Cross multiply
    2,207.40x = 3,311.13 × 974.52
  4. Step 4: Simplify right side
    2,207.40x = 3,226,762.41
  5. Step 5: Solve for x
    x = 3,226,762.41/2,207.40
  6. Step 6: Final answer
    x = 1,461.79

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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.