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Finding the Fourth Proportional to 7,867.88, 11,801.82 and 3,251.00

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Solution

The fourth proportional to 7,867.88, 11,801.82 and 3,251.00 is: 4,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.88 : 11,801.82 = 3,251.00 : x
  2. Step 2: Convert to fraction form
    7,867.88/11,801.82 = 3,251.00/x
  3. Step 3: Cross multiply
    7,867.88x = 11,801.82 × 3,251.00
  4. Step 4: Simplify right side
    7,867.88x = 38,367,657.81
  5. Step 5: Solve for x
    x = 38,367,657.81/7,867.88
  6. Step 6: Final answer
    x = 4,876.50

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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.