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Finding the Fourth Proportional to 6,711.63, 10,065.42 and 2,815.17

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Solution

The fourth proportional to 6,711.63, 10,065.42 and 2,815.17 is: 4,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.63 : 10,065.42 = 2,815.17 : x
  2. Step 2: Convert to fraction form
    6,711.63/10,065.42 = 2,815.17/x
  3. Step 3: Cross multiply
    6,711.63x = 10,065.42 × 2,815.17
  4. Step 4: Simplify right side
    6,711.63x = 28,335,868.42
  5. Step 5: Solve for x
    x = 28,335,868.42/6,711.63
  6. Step 6: Final answer
    x = 4,221.91

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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.