Home / 2,104.20-3,156.42-871.70

Finding the Fourth Proportional to 2,104.20, 3,156.42 and 871.70

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Solution

The fourth proportional to 2,104.20, 3,156.42 and 871.70 is: 1,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.20 : 3,156.42 = 871.70 : x
  2. Step 2: Convert to fraction form
    2,104.20/3,156.42 = 871.70/x
  3. Step 3: Cross multiply
    2,104.20x = 3,156.42 × 871.70
  4. Step 4: Simplify right side
    2,104.20x = 2,751,461.38
  5. Step 5: Solve for x
    x = 2,751,461.38/2,104.20
  6. Step 6: Final answer
    x = 1,307.61

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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.