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Finding the Fourth Proportional to 2,180.91, 3,268.53 and 881.67

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Solution

The fourth proportional to 2,180.91, 3,268.53 and 881.67 is: 1,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.91 : 3,268.53 = 881.67 : x
  2. Step 2: Convert to fraction form
    2,180.91/3,268.53 = 881.67/x
  3. Step 3: Cross multiply
    2,180.91x = 3,268.53 × 881.67
  4. Step 4: Simplify right side
    2,180.91x = 2,881,764.85
  5. Step 5: Solve for x
    x = 2,881,764.85/2,180.91
  6. Step 6: Final answer
    x = 1,321.36

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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.