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Finding the Fourth Proportional to 8,191.14, 12,301.52 and 7,531.81

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Solution

The fourth proportional to 8,191.14, 12,301.52 and 7,531.81 is: 11,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.14 : 12,301.52 = 7,531.81 : x
  2. Step 2: Convert to fraction form
    8,191.14/12,301.52 = 7,531.81/x
  3. Step 3: Cross multiply
    8,191.14x = 12,301.52 × 7,531.81
  4. Step 4: Simplify right side
    8,191.14x = 92,652,759.12
  5. Step 5: Solve for x
    x = 92,652,759.12/8,191.14
  6. Step 6: Final answer
    x = 11,311.34

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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.