Home / 2,431.26-3,647.28-787.68

Finding the Fourth Proportional to 2,431.26, 3,647.28 and 787.68

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Solution

The fourth proportional to 2,431.26, 3,647.28 and 787.68 is: 1,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.26 : 3,647.28 = 787.68 : x
  2. Step 2: Convert to fraction form
    2,431.26/3,647.28 = 787.68/x
  3. Step 3: Cross multiply
    2,431.26x = 3,647.28 × 787.68
  4. Step 4: Simplify right side
    2,431.26x = 2,872,889.51
  5. Step 5: Solve for x
    x = 2,872,889.51/2,431.26
  6. Step 6: Final answer
    x = 1,181.65

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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.