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Finding the Fourth Proportional to 2,964.80, 4,447.20 and 1,320.88

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Solution

The fourth proportional to 2,964.80, 4,447.20 and 1,320.88 is: 1,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.80 : 4,447.20 = 1,320.88 : x
  2. Step 2: Convert to fraction form
    2,964.80/4,447.20 = 1,320.88/x
  3. Step 3: Cross multiply
    2,964.80x = 4,447.20 × 1,320.88
  4. Step 4: Simplify right side
    2,964.80x = 5,874,217.54
  5. Step 5: Solve for x
    x = 5,874,217.54/2,964.80
  6. Step 6: Final answer
    x = 1,981.32

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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.