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Finding the Fourth Proportional to 2,944.80, 4,419.04 and 1,647.20

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Solution

The fourth proportional to 2,944.80, 4,419.04 and 1,647.20 is: 2,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.80 : 4,419.04 = 1,647.20 : x
  2. Step 2: Convert to fraction form
    2,944.80/4,419.04 = 1,647.20/x
  3. Step 3: Cross multiply
    2,944.80x = 4,419.04 × 1,647.20
  4. Step 4: Simplify right side
    2,944.80x = 7,279,042.69
  5. Step 5: Solve for x
    x = 7,279,042.69/2,944.80
  6. Step 6: Final answer
    x = 2,471.83

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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.