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Finding the Fourth Proportional to 7,882.59, 11,825.10 and 2,687.25

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Solution

The fourth proportional to 7,882.59, 11,825.10 and 2,687.25 is: 4,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.59 : 11,825.10 = 2,687.25 : x
  2. Step 2: Convert to fraction form
    7,882.59/11,825.10 = 2,687.25/x
  3. Step 3: Cross multiply
    7,882.59x = 11,825.10 × 2,687.25
  4. Step 4: Simplify right side
    7,882.59x = 31,776,999.98
  5. Step 5: Solve for x
    x = 31,776,999.98/7,882.59
  6. Step 6: Final answer
    x = 4,031.29

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1.5x scale

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.