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Finding the Fourth Proportional to 2,956.80, 4,080.68 and 2,209.47

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Solution

The fourth proportional to 2,956.80, 4,080.68 and 2,209.47 is: 3,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.80 : 4,080.68 = 2,209.47 : x
  2. Step 2: Convert to fraction form
    2,956.80/4,080.68 = 2,209.47/x
  3. Step 3: Cross multiply
    2,956.80x = 4,080.68 × 2,209.47
  4. Step 4: Simplify right side
    2,956.80x = 9,016,108.59
  5. Step 5: Solve for x
    x = 9,016,108.59/2,956.80
  6. Step 6: Final answer
    x = 3,049.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.