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Finding the Fourth Proportional to 2,103.75, 3,156.28 and 871.74

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Solution

The fourth proportional to 2,103.75, 3,156.28 and 871.74 is: 1,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.75 : 3,156.28 = 871.74 : x
  2. Step 2: Convert to fraction form
    2,103.75/3,156.28 = 871.74/x
  3. Step 3: Cross multiply
    2,103.75x = 3,156.28 × 871.74
  4. Step 4: Simplify right side
    2,103.75x = 2,751,455.53
  5. Step 5: Solve for x
    x = 2,751,455.53/2,103.75
  6. Step 6: Final answer
    x = 1,307.88

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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.