Home / 2,431.24-3,647.43-787.78

Finding the Fourth Proportional to 2,431.24, 3,647.43 and 787.78

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Solution

The fourth proportional to 2,431.24, 3,647.43 and 787.78 is: 1,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.24 : 3,647.43 = 787.78 : x
  2. Step 2: Convert to fraction form
    2,431.24/3,647.43 = 787.78/x
  3. Step 3: Cross multiply
    2,431.24x = 3,647.43 × 787.78
  4. Step 4: Simplify right side
    2,431.24x = 2,873,363.29
  5. Step 5: Solve for x
    x = 2,873,363.29/2,431.24
  6. Step 6: Final answer
    x = 1,181.85

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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.