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Finding the Fourth Proportional to 2,087.70, 3,131.56 and 548.70

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Solution

The fourth proportional to 2,087.70, 3,131.56 and 548.70 is: 823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.70 : 3,131.56 = 548.70 : x
  2. Step 2: Convert to fraction form
    2,087.70/3,131.56 = 548.70/x
  3. Step 3: Cross multiply
    2,087.70x = 3,131.56 × 548.70
  4. Step 4: Simplify right side
    2,087.70x = 1,718,286.97
  5. Step 5: Solve for x
    x = 1,718,286.97/2,087.70
  6. Step 6: Final answer
    x = 823.05

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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.