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Finding the Fourth Proportional to 3,876.13, 5,363.14 and 3,379.80

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Solution

The fourth proportional to 3,876.13, 5,363.14 and 3,379.80 is: 4,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.13 : 5,363.14 = 3,379.80 : x
  2. Step 2: Convert to fraction form
    3,876.13/5,363.14 = 3,379.80/x
  3. Step 3: Cross multiply
    3,876.13x = 5,363.14 × 3,379.80
  4. Step 4: Simplify right side
    3,876.13x = 18,126,340.57
  5. Step 5: Solve for x
    x = 18,126,340.57/3,876.13
  6. Step 6: Final answer
    x = 4,676.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.