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Finding the Fourth Proportional to 3,992.32, 5,979.32 and 1,913.79

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Solution

The fourth proportional to 3,992.32, 5,979.32 and 1,913.79 is: 2,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.32 : 5,979.32 = 1,913.79 : x
  2. Step 2: Convert to fraction form
    3,992.32/5,979.32 = 1,913.79/x
  3. Step 3: Cross multiply
    3,992.32x = 5,979.32 × 1,913.79
  4. Step 4: Simplify right side
    3,992.32x = 11,443,182.85
  5. Step 5: Solve for x
    x = 11,443,182.85/3,992.32
  6. Step 6: Final answer
    x = 2,866.30

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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.