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Finding the Fourth Proportional to 2,621.53, 3,932.31 and 673.75

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Solution

The fourth proportional to 2,621.53, 3,932.31 and 673.75 is: 1,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.53 : 3,932.31 = 673.75 : x
  2. Step 2: Convert to fraction form
    2,621.53/3,932.31 = 673.75/x
  3. Step 3: Cross multiply
    2,621.53x = 3,932.31 × 673.75
  4. Step 4: Simplify right side
    2,621.53x = 2,649,401.30
  5. Step 5: Solve for x
    x = 2,649,401.30/2,621.53
  6. Step 6: Final answer
    x = 1,010.63

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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.