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Finding the Fourth Proportional to 2,608.66, 3,913.20 and 852.97

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Solution

The fourth proportional to 2,608.66, 3,913.20 and 852.97 is: 1,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.66 : 3,913.20 = 852.97 : x
  2. Step 2: Convert to fraction form
    2,608.66/3,913.20 = 852.97/x
  3. Step 3: Cross multiply
    2,608.66x = 3,913.20 × 852.97
  4. Step 4: Simplify right side
    2,608.66x = 3,337,842.20
  5. Step 5: Solve for x
    x = 3,337,842.20/2,608.66
  6. Step 6: Final answer
    x = 1,279.52

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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.