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Finding the Fourth Proportional to 3,876.19, 5,815.83 and 1,411.18

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Solution

The fourth proportional to 3,876.19, 5,815.83 and 1,411.18 is: 2,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.19 : 5,815.83 = 1,411.18 : x
  2. Step 2: Convert to fraction form
    3,876.19/5,815.83 = 1,411.18/x
  3. Step 3: Cross multiply
    3,876.19x = 5,815.83 × 1,411.18
  4. Step 4: Simplify right side
    3,876.19x = 8,207,182.98
  5. Step 5: Solve for x
    x = 8,207,182.98/3,876.19
  6. Step 6: Final answer
    x = 2,117.33

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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.