Home / 3,410-5,112.28-1,766.80

Finding the Fourth Proportional to 3,410, 5,112.28 and 1,766.80

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Solution

The fourth proportional to 3,410, 5,112.28 and 1,766.80 is: 2,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 5,112.28 = 1,766.80 : x
  2. Step 2: Convert to fraction form
    3,410/5,112.28 = 1,766.80/x
  3. Step 3: Cross multiply
    3,410x = 5,112.28 × 1,766.80
  4. Step 4: Simplify right side
    3,410x = 9,032,376.30
  5. Step 5: Solve for x
    x = 9,032,376.30/3,410
  6. Step 6: Final answer
    x = 2,648.79

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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.