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Finding the Fourth Proportional to 2,613.72, 3,922.93 and 2,335.64

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Solution

The fourth proportional to 2,613.72, 3,922.93 and 2,335.64 is: 3,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.72 : 3,922.93 = 2,335.64 : x
  2. Step 2: Convert to fraction form
    2,613.72/3,922.93 = 2,335.64/x
  3. Step 3: Cross multiply
    2,613.72x = 3,922.93 × 2,335.64
  4. Step 4: Simplify right side
    2,613.72x = 9,162,535.53
  5. Step 5: Solve for x
    x = 9,162,535.53/2,613.72
  6. Step 6: Final answer
    x = 3,505.56

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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.