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Finding the Fourth Proportional to 3,754.70, 5,630.63 and 1,672.66

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Solution

The fourth proportional to 3,754.70, 5,630.63 and 1,672.66 is: 2,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.70 : 5,630.63 = 1,672.66 : x
  2. Step 2: Convert to fraction form
    3,754.70/5,630.63 = 1,672.66/x
  3. Step 3: Cross multiply
    3,754.70x = 5,630.63 × 1,672.66
  4. Step 4: Simplify right side
    3,754.70x = 9,418,107.14
  5. Step 5: Solve for x
    x = 9,418,107.14/3,754.70
  6. Step 6: Final answer
    x = 2,508.35

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1.5x scale

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.