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Finding the Fourth Proportional to 2,398.16, 3,309.16 and 1,335.66

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Solution

The fourth proportional to 2,398.16, 3,309.16 and 1,335.66 is: 1,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.16 : 3,309.16 = 1,335.66 : x
  2. Step 2: Convert to fraction form
    2,398.16/3,309.16 = 1,335.66/x
  3. Step 3: Cross multiply
    2,398.16x = 3,309.16 × 1,335.66
  4. Step 4: Simplify right side
    2,398.16x = 4,419,912.65
  5. Step 5: Solve for x
    x = 4,419,912.65/2,398.16
  6. Step 6: Final answer
    x = 1,843.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.