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Finding the Fourth Proportional to 4,947.31, 7,421.20 and 2,754.39

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Solution

The fourth proportional to 4,947.31, 7,421.20 and 2,754.39 is: 4,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.31 : 7,421.20 = 2,754.39 : x
  2. Step 2: Convert to fraction form
    4,947.31/7,421.20 = 2,754.39/x
  3. Step 3: Cross multiply
    4,947.31x = 7,421.20 × 2,754.39
  4. Step 4: Simplify right side
    4,947.31x = 20,440,872.18
  5. Step 5: Solve for x
    x = 20,440,872.18/4,947.31
  6. Step 6: Final answer
    x = 4,131.71

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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.