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Finding the Fourth Proportional to 2,538.39, 3,807.82 and 689.51

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Solution

The fourth proportional to 2,538.39, 3,807.82 and 689.51 is: 1,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.39 : 3,807.82 = 689.51 : x
  2. Step 2: Convert to fraction form
    2,538.39/3,807.82 = 689.51/x
  3. Step 3: Cross multiply
    2,538.39x = 3,807.82 × 689.51
  4. Step 4: Simplify right side
    2,538.39x = 2,625,529.97
  5. Step 5: Solve for x
    x = 2,625,529.97/2,538.39
  6. Step 6: Final answer
    x = 1,034.33

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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.