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Finding the Fourth Proportional to 3,876.81, 5,812.70 and 1,411.17

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Solution

The fourth proportional to 3,876.81, 5,812.70 and 1,411.17 is: 2,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.81 : 5,812.70 = 1,411.17 : x
  2. Step 2: Convert to fraction form
    3,876.81/5,812.70 = 1,411.17/x
  3. Step 3: Cross multiply
    3,876.81x = 5,812.70 × 1,411.17
  4. Step 4: Simplify right side
    3,876.81x = 8,202,700.80
  5. Step 5: Solve for x
    x = 8,202,700.80/3,876.81
  6. Step 6: Final answer
    x = 2,115.84

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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.