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Finding the Fourth Proportional to 2,286.63, 3,427.92 and 987.39

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Solution

The fourth proportional to 2,286.63, 3,427.92 and 987.39 is: 1,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.63 : 3,427.92 = 987.39 : x
  2. Step 2: Convert to fraction form
    2,286.63/3,427.92 = 987.39/x
  3. Step 3: Cross multiply
    2,286.63x = 3,427.92 × 987.39
  4. Step 4: Simplify right side
    2,286.63x = 3,384,693.93
  5. Step 5: Solve for x
    x = 3,384,693.93/2,286.63
  6. Step 6: Final answer
    x = 1,480.21

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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.