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Finding the Fourth Proportional to 3,179.76, 4,387.98 and 1,921.86

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Solution

The fourth proportional to 3,179.76, 4,387.98 and 1,921.86 is: 2,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.76 : 4,387.98 = 1,921.86 : x
  2. Step 2: Convert to fraction form
    3,179.76/4,387.98 = 1,921.86/x
  3. Step 3: Cross multiply
    3,179.76x = 4,387.98 × 1,921.86
  4. Step 4: Simplify right side
    3,179.76x = 8,433,083.24
  5. Step 5: Solve for x
    x = 8,433,083.24/3,179.76
  6. Step 6: Final answer
    x = 2,652.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.