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Finding the Fourth Proportional to 3,984.99, 5,977.17 and 1,387.92

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Solution

The fourth proportional to 3,984.99, 5,977.17 and 1,387.92 is: 2,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.99 : 5,977.17 = 1,387.92 : x
  2. Step 2: Convert to fraction form
    3,984.99/5,977.17 = 1,387.92/x
  3. Step 3: Cross multiply
    3,984.99x = 5,977.17 × 1,387.92
  4. Step 4: Simplify right side
    3,984.99x = 8,295,833.79
  5. Step 5: Solve for x
    x = 8,295,833.79/3,984.99
  6. Step 6: Final answer
    x = 2,081.77

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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.