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Finding the Fourth Proportional to 2,548.80, 3,820.20 and 1,454.20

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Solution

The fourth proportional to 2,548.80, 3,820.20 and 1,454.20 is: 2,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.80 : 3,820.20 = 1,454.20 : x
  2. Step 2: Convert to fraction form
    2,548.80/3,820.20 = 1,454.20/x
  3. Step 3: Cross multiply
    2,548.80x = 3,820.20 × 1,454.20
  4. Step 4: Simplify right side
    2,548.80x = 5,555,334.84
  5. Step 5: Solve for x
    x = 5,555,334.84/2,548.80
  6. Step 6: Final answer
    x = 2,179.59

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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.