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Finding the Fourth Proportional to 3,877.91, 5,819.14 and 1,412.87

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Solution

The fourth proportional to 3,877.91, 5,819.14 and 1,412.87 is: 2,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.91 : 5,819.14 = 1,412.87 : x
  2. Step 2: Convert to fraction form
    3,877.91/5,819.14 = 1,412.87/x
  3. Step 3: Cross multiply
    3,877.91x = 5,819.14 × 1,412.87
  4. Step 4: Simplify right side
    3,877.91x = 8,221,688.33
  5. Step 5: Solve for x
    x = 8,221,688.33/3,877.91
  6. Step 6: Final answer
    x = 2,120.13

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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.