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Finding the Fourth Proportional to 2,103.86, 3,155.78 and 872.13

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Solution

The fourth proportional to 2,103.86, 3,155.78 and 872.13 is: 1,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.86 : 3,155.78 = 872.13 : x
  2. Step 2: Convert to fraction form
    2,103.86/3,155.78 = 872.13/x
  3. Step 3: Cross multiply
    2,103.86x = 3,155.78 × 872.13
  4. Step 4: Simplify right side
    2,103.86x = 2,752,230.27
  5. Step 5: Solve for x
    x = 2,752,230.27/2,103.86
  6. Step 6: Final answer
    x = 1,308.18

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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.