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Finding the Fourth Proportional to 2,398.38, 3,597.33 and 838.23

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Solution

The fourth proportional to 2,398.38, 3,597.33 and 838.23 is: 1,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.38 : 3,597.33 = 838.23 : x
  2. Step 2: Convert to fraction form
    2,398.38/3,597.33 = 838.23/x
  3. Step 3: Cross multiply
    2,398.38x = 3,597.33 × 838.23
  4. Step 4: Simplify right side
    2,398.38x = 3,015,389.93
  5. Step 5: Solve for x
    x = 3,015,389.93/2,398.38
  6. Step 6: Final answer
    x = 1,257.26

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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.