Home / 2,207.72-3,311.42-975.17

Finding the Fourth Proportional to 2,207.72, 3,311.42 and 975.17

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Solution

The fourth proportional to 2,207.72, 3,311.42 and 975.17 is: 1,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.72 : 3,311.42 = 975.17 : x
  2. Step 2: Convert to fraction form
    2,207.72/3,311.42 = 975.17/x
  3. Step 3: Cross multiply
    2,207.72x = 3,311.42 × 975.17
  4. Step 4: Simplify right side
    2,207.72x = 3,229,200.84
  5. Step 5: Solve for x
    x = 3,229,200.84/2,207.72
  6. Step 6: Final answer
    x = 1,462.68

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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.