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Finding the Fourth Proportional to 7,881.67, 11,824.26 and 2,687.50

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Solution

The fourth proportional to 7,881.67, 11,824.26 and 2,687.50 is: 4,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.67 : 11,824.26 = 2,687.50 : x
  2. Step 2: Convert to fraction form
    7,881.67/11,824.26 = 2,687.50/x
  3. Step 3: Cross multiply
    7,881.67x = 11,824.26 × 2,687.50
  4. Step 4: Simplify right side
    7,881.67x = 31,777,698.75
  5. Step 5: Solve for x
    x = 31,777,698.75/7,881.67
  6. Step 6: Final answer
    x = 4,031.85

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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.