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Finding the Fourth Proportional to 2,768.16, 4,152.68 and 820.56

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Solution

The fourth proportional to 2,768.16, 4,152.68 and 820.56 is: 1,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.16 : 4,152.68 = 820.56 : x
  2. Step 2: Convert to fraction form
    2,768.16/4,152.68 = 820.56/x
  3. Step 3: Cross multiply
    2,768.16x = 4,152.68 × 820.56
  4. Step 4: Simplify right side
    2,768.16x = 3,407,523.10
  5. Step 5: Solve for x
    x = 3,407,523.10/2,768.16
  6. Step 6: Final answer
    x = 1,230.97

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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.