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Finding the Fourth Proportional to 8,170.88, 11,287.20 and 7,867.44

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Solution

The fourth proportional to 8,170.88, 11,287.20 and 7,867.44 is: 10,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.88 : 11,287.20 = 7,867.44 : x
  2. Step 2: Convert to fraction form
    8,170.88/11,287.20 = 7,867.44/x
  3. Step 3: Cross multiply
    8,170.88x = 11,287.20 × 7,867.44
  4. Step 4: Simplify right side
    8,170.88x = 88,801,368.77
  5. Step 5: Solve for x
    x = 88,801,368.77/8,170.88
  6. Step 6: Final answer
    x = 10,868.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.