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Finding the Fourth Proportional to 2,286.65, 3,429.43 and 987.41

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Solution

The fourth proportional to 2,286.65, 3,429.43 and 987.41 is: 1,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.65 : 3,429.43 = 987.41 : x
  2. Step 2: Convert to fraction form
    2,286.65/3,429.43 = 987.41/x
  3. Step 3: Cross multiply
    2,286.65x = 3,429.43 × 987.41
  4. Step 4: Simplify right side
    2,286.65x = 3,386,253.48
  5. Step 5: Solve for x
    x = 3,386,253.48/2,286.65
  6. Step 6: Final answer
    x = 1,480.88

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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.