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Finding the Fourth Proportional to 3,357, 4,633.20 and 1,959.75

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Solution

The fourth proportional to 3,357, 4,633.20 and 1,959.75 is: 2,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357 : 4,633.20 = 1,959.75 : x
  2. Step 2: Convert to fraction form
    3,357/4,633.20 = 1,959.75/x
  3. Step 3: Cross multiply
    3,357x = 4,633.20 × 1,959.75
  4. Step 4: Simplify right side
    3,357x = 9,079,913.70
  5. Step 5: Solve for x
    x = 9,079,913.70/3,357
  6. Step 6: Final answer
    x = 2,704.77

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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.