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Finding the Fourth Proportional to 3,159.71, 4,747.40 and 2,049.83

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Solution

The fourth proportional to 3,159.71, 4,747.40 and 2,049.83 is: 3,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.71 : 4,747.40 = 2,049.83 : x
  2. Step 2: Convert to fraction form
    3,159.71/4,747.40 = 2,049.83/x
  3. Step 3: Cross multiply
    3,159.71x = 4,747.40 × 2,049.83
  4. Step 4: Simplify right side
    3,159.71x = 9,731,328.96
  5. Step 5: Solve for x
    x = 9,731,328.96/3,159.71
  6. Step 6: Final answer
    x = 3,079.82

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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.