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Finding the Fourth Proportional to 2,487.81, 3,731.87 and 822.05

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Solution

The fourth proportional to 2,487.81, 3,731.87 and 822.05 is: 1,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.81 : 3,731.87 = 822.05 : x
  2. Step 2: Convert to fraction form
    2,487.81/3,731.87 = 822.05/x
  3. Step 3: Cross multiply
    2,487.81x = 3,731.87 × 822.05
  4. Step 4: Simplify right side
    2,487.81x = 3,067,783.73
  5. Step 5: Solve for x
    x = 3,067,783.73/2,487.81
  6. Step 6: Final answer
    x = 1,233.13

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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.