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Finding the Fourth Proportional to 2,375.75, 3,278.54 and 1,591.67

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Solution

The fourth proportional to 2,375.75, 3,278.54 and 1,591.67 is: 2,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.75 : 3,278.54 = 1,591.67 : x
  2. Step 2: Convert to fraction form
    2,375.75/3,278.54 = 1,591.67/x
  3. Step 3: Cross multiply
    2,375.75x = 3,278.54 × 1,591.67
  4. Step 4: Simplify right side
    2,375.75x = 5,218,353.76
  5. Step 5: Solve for x
    x = 5,218,353.76/2,375.75
  6. Step 6: Final answer
    x = 2,196.51

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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.