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Finding the Fourth Proportional to 1,863.09, 2,568.11 and 1,739.07

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Solution

The fourth proportional to 1,863.09, 2,568.11 and 1,739.07 is: 2,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.09 : 2,568.11 = 1,739.07 : x
  2. Step 2: Convert to fraction form
    1,863.09/2,568.11 = 1,739.07/x
  3. Step 3: Cross multiply
    1,863.09x = 2,568.11 × 1,739.07
  4. Step 4: Simplify right side
    1,863.09x = 4,466,114.36
  5. Step 5: Solve for x
    x = 4,466,114.36/1,863.09
  6. Step 6: Final answer
    x = 2,397.15

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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.