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Finding the Fourth Proportional to 2,541.39, 3,809.39 and 1,079.79

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Solution

The fourth proportional to 2,541.39, 3,809.39 and 1,079.79 is: 1,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.39 : 3,809.39 = 1,079.79 : x
  2. Step 2: Convert to fraction form
    2,541.39/3,809.39 = 1,079.79/x
  3. Step 3: Cross multiply
    2,541.39x = 3,809.39 × 1,079.79
  4. Step 4: Simplify right side
    2,541.39x = 4,113,335.83
  5. Step 5: Solve for x
    x = 4,113,335.83/2,541.39
  6. Step 6: Final answer
    x = 1,618.54

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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.