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Finding the Fourth Proportional to 8,535.64, 12,865.15 and 8,059

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Solution

The fourth proportional to 8,535.64, 12,865.15 and 8,059 is: 12,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.64 : 12,865.15 = 8,059 : x
  2. Step 2: Convert to fraction form
    8,535.64/12,865.15 = 8,059/x
  3. Step 3: Cross multiply
    8,535.64x = 12,865.15 × 8,059
  4. Step 4: Simplify right side
    8,535.64x = 103,680,243.85
  5. Step 5: Solve for x
    x = 103,680,243.85/8,535.64
  6. Step 6: Final answer
    x = 12,146.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.