Home / 2,020.40-3,029.98-787.72

Finding the Fourth Proportional to 2,020.40, 3,029.98 and 787.72

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Solution

The fourth proportional to 2,020.40, 3,029.98 and 787.72 is: 1,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.40 : 3,029.98 = 787.72 : x
  2. Step 2: Convert to fraction form
    2,020.40/3,029.98 = 787.72/x
  3. Step 3: Cross multiply
    2,020.40x = 3,029.98 × 787.72
  4. Step 4: Simplify right side
    2,020.40x = 2,386,775.85
  5. Step 5: Solve for x
    x = 2,386,775.85/2,020.40
  6. Step 6: Final answer
    x = 1,181.34

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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.