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Finding the Fourth Proportional to 3,427.89, 5,143.20 and 2,041.89

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Solution

The fourth proportional to 3,427.89, 5,143.20 and 2,041.89 is: 3,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.89 : 5,143.20 = 2,041.89 : x
  2. Step 2: Convert to fraction form
    3,427.89/5,143.20 = 2,041.89/x
  3. Step 3: Cross multiply
    3,427.89x = 5,143.20 × 2,041.89
  4. Step 4: Simplify right side
    3,427.89x = 10,501,848.65
  5. Step 5: Solve for x
    x = 10,501,848.65/3,427.89
  6. Step 6: Final answer
    x = 3,063.65

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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.