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Finding the Fourth Proportional to 2,608.68, 3,913.35 and 1,221.81

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Solution

The fourth proportional to 2,608.68, 3,913.35 and 1,221.81 is: 1,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.68 : 3,913.35 = 1,221.81 : x
  2. Step 2: Convert to fraction form
    2,608.68/3,913.35 = 1,221.81/x
  3. Step 3: Cross multiply
    2,608.68x = 3,913.35 × 1,221.81
  4. Step 4: Simplify right side
    2,608.68x = 4,781,370.16
  5. Step 5: Solve for x
    x = 4,781,370.16/2,608.68
  6. Step 6: Final answer
    x = 1,832.87

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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.