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Finding the Fourth Proportional to 3,984.54, 5,977.08 and 1,387.68

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Solution

The fourth proportional to 3,984.54, 5,977.08 and 1,387.68 is: 2,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.54 : 5,977.08 = 1,387.68 : x
  2. Step 2: Convert to fraction form
    3,984.54/5,977.08 = 1,387.68/x
  3. Step 3: Cross multiply
    3,984.54x = 5,977.08 × 1,387.68
  4. Step 4: Simplify right side
    3,984.54x = 8,294,274.37
  5. Step 5: Solve for x
    x = 8,294,274.37/3,984.54
  6. Step 6: Final answer
    x = 2,081.61

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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.