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Finding the Fourth Proportional to 3,073.56, 4,608.18 and 1,427.82

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Solution

The fourth proportional to 3,073.56, 4,608.18 and 1,427.82 is: 2,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.56 : 4,608.18 = 1,427.82 : x
  2. Step 2: Convert to fraction form
    3,073.56/4,608.18 = 1,427.82/x
  3. Step 3: Cross multiply
    3,073.56x = 4,608.18 × 1,427.82
  4. Step 4: Simplify right side
    3,073.56x = 6,579,651.57
  5. Step 5: Solve for x
    x = 6,579,651.57/3,073.56
  6. Step 6: Final answer
    x = 2,140.73

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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.