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Finding the Fourth Proportional to 1,672.70, 2,302.92 and 1,377.44

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Solution

The fourth proportional to 1,672.70, 2,302.92 and 1,377.44 is: 1,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.70 : 2,302.92 = 1,377.44 : x
  2. Step 2: Convert to fraction form
    1,672.70/2,302.92 = 1,377.44/x
  3. Step 3: Cross multiply
    1,672.70x = 2,302.92 × 1,377.44
  4. Step 4: Simplify right side
    1,672.70x = 3,172,134.12
  5. Step 5: Solve for x
    x = 3,172,134.12/1,672.70
  6. Step 6: Final answer
    x = 1,896.42

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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.