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Finding the Fourth Proportional to 6,871.70, 10,307.55 and 2,711.90

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Solution

The fourth proportional to 6,871.70, 10,307.55 and 2,711.90 is: 4,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.70 : 10,307.55 = 2,711.90 : x
  2. Step 2: Convert to fraction form
    6,871.70/10,307.55 = 2,711.90/x
  3. Step 3: Cross multiply
    6,871.70x = 10,307.55 × 2,711.90
  4. Step 4: Simplify right side
    6,871.70x = 27,953,044.85
  5. Step 5: Solve for x
    x = 27,953,044.85/6,871.70
  6. Step 6: Final answer
    x = 4,067.85

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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.