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Finding the Fourth Proportional to 7,489.11, 11,235.11 and 2,871.75

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Solution

The fourth proportional to 7,489.11, 11,235.11 and 2,871.75 is: 4,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.11 : 11,235.11 = 2,871.75 : x
  2. Step 2: Convert to fraction form
    7,489.11/11,235.11 = 2,871.75/x
  3. Step 3: Cross multiply
    7,489.11x = 11,235.11 × 2,871.75
  4. Step 4: Simplify right side
    7,489.11x = 32,264,412.78
  5. Step 5: Solve for x
    x = 32,264,412.78/7,489.11
  6. Step 6: Final answer
    x = 4,308.18

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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.