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Finding the Fourth Proportional to 4,947.78, 7,421.90 and 2,754.86

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Solution

The fourth proportional to 4,947.78, 7,421.90 and 2,754.86 is: 4,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.78 : 7,421.90 = 2,754.86 : x
  2. Step 2: Convert to fraction form
    4,947.78/7,421.90 = 2,754.86/x
  3. Step 3: Cross multiply
    4,947.78x = 7,421.90 × 2,754.86
  4. Step 4: Simplify right side
    4,947.78x = 20,446,287.88
  5. Step 5: Solve for x
    x = 20,446,287.88/4,947.78
  6. Step 6: Final answer
    x = 4,132.41

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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.