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Finding the Fourth Proportional to 2,207.46, 3,309.84 and 871.64

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Solution

The fourth proportional to 2,207.46, 3,309.84 and 871.64 is: 1,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.46 : 3,309.84 = 871.64 : x
  2. Step 2: Convert to fraction form
    2,207.46/3,309.84 = 871.64/x
  3. Step 3: Cross multiply
    2,207.46x = 3,309.84 × 871.64
  4. Step 4: Simplify right side
    2,207.46x = 2,884,988.94
  5. Step 5: Solve for x
    x = 2,884,988.94/2,207.46
  6. Step 6: Final answer
    x = 1,306.93

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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.