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Finding the Fourth Proportional to 2,956.74, 4,080.22 and 1,630.43

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Solution

The fourth proportional to 2,956.74, 4,080.22 and 1,630.43 is: 2,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.74 : 4,080.22 = 1,630.43 : x
  2. Step 2: Convert to fraction form
    2,956.74/4,080.22 = 1,630.43/x
  3. Step 3: Cross multiply
    2,956.74x = 4,080.22 × 1,630.43
  4. Step 4: Simplify right side
    2,956.74x = 6,652,513.09
  5. Step 5: Solve for x
    x = 6,652,513.09/2,956.74
  6. Step 6: Final answer
    x = 2,249.95

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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.