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Finding the Fourth Proportional to 2,157.97, 3,236.57 and 576.72

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Solution

The fourth proportional to 2,157.97, 3,236.57 and 576.72 is: 864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.97 : 3,236.57 = 576.72 : x
  2. Step 2: Convert to fraction form
    2,157.97/3,236.57 = 576.72/x
  3. Step 3: Cross multiply
    2,157.97x = 3,236.57 × 576.72
  4. Step 4: Simplify right side
    2,157.97x = 1,866,575.58
  5. Step 5: Solve for x
    x = 1,866,575.58/2,157.97
  6. Step 6: Final answer
    x = 864.97

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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.