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Finding the Fourth Proportional to 3,986.18, 5,979.76 and 1,354.12

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Solution

The fourth proportional to 3,986.18, 5,979.76 and 1,354.12 is: 2,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.18 : 5,979.76 = 1,354.12 : x
  2. Step 2: Convert to fraction form
    3,986.18/5,979.76 = 1,354.12/x
  3. Step 3: Cross multiply
    3,986.18x = 5,979.76 × 1,354.12
  4. Step 4: Simplify right side
    3,986.18x = 8,097,294.28
  5. Step 5: Solve for x
    x = 8,097,294.28/3,986.18
  6. Step 6: Final answer
    x = 2,031.34

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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.