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Finding the Fourth Proportional to 2,135.72, 3,202.96 and 836.88

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Solution

The fourth proportional to 2,135.72, 3,202.96 and 836.88 is: 1,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.72 : 3,202.96 = 836.88 : x
  2. Step 2: Convert to fraction form
    2,135.72/3,202.96 = 836.88/x
  3. Step 3: Cross multiply
    2,135.72x = 3,202.96 × 836.88
  4. Step 4: Simplify right side
    2,135.72x = 2,680,493.16
  5. Step 5: Solve for x
    x = 2,680,493.16/2,135.72
  6. Step 6: Final answer
    x = 1,255.08

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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.