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Finding the Fourth Proportional to 2,107.74, 3,157.82 and 1,375.50

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Solution

The fourth proportional to 2,107.74, 3,157.82 and 1,375.50 is: 2,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.74 : 3,157.82 = 1,375.50 : x
  2. Step 2: Convert to fraction form
    2,107.74/3,157.82 = 1,375.50/x
  3. Step 3: Cross multiply
    2,107.74x = 3,157.82 × 1,375.50
  4. Step 4: Simplify right side
    2,107.74x = 4,343,581.41
  5. Step 5: Solve for x
    x = 4,343,581.41/2,107.74
  6. Step 6: Final answer
    x = 2,060.78

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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.