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Finding the Fourth Proportional to 2,170.23, 3,255.33 and 871.68

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Solution

The fourth proportional to 2,170.23, 3,255.33 and 871.68 is: 1,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.23 : 3,255.33 = 871.68 : x
  2. Step 2: Convert to fraction form
    2,170.23/3,255.33 = 871.68/x
  3. Step 3: Cross multiply
    2,170.23x = 3,255.33 × 871.68
  4. Step 4: Simplify right side
    2,170.23x = 2,837,606.05
  5. Step 5: Solve for x
    x = 2,837,606.05/2,170.23
  6. Step 6: Final answer
    x = 1,307.51

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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.