Home / 2,020.45-3,031.62-787.54

Finding the Fourth Proportional to 2,020.45, 3,031.62 and 787.54

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Solution

The fourth proportional to 2,020.45, 3,031.62 and 787.54 is: 1,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.45 : 3,031.62 = 787.54 : x
  2. Step 2: Convert to fraction form
    2,020.45/3,031.62 = 787.54/x
  3. Step 3: Cross multiply
    2,020.45x = 3,031.62 × 787.54
  4. Step 4: Simplify right side
    2,020.45x = 2,387,522.01
  5. Step 5: Solve for x
    x = 2,387,522.01/2,020.45
  6. Step 6: Final answer
    x = 1,181.68

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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.