Home / 2,180.50-3,268.10-946.46

Finding the Fourth Proportional to 2,180.50, 3,268.10 and 946.46

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Solution

The fourth proportional to 2,180.50, 3,268.10 and 946.46 is: 1,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.50 : 3,268.10 = 946.46 : x
  2. Step 2: Convert to fraction form
    2,180.50/3,268.10 = 946.46/x
  3. Step 3: Cross multiply
    2,180.50x = 3,268.10 × 946.46
  4. Step 4: Simplify right side
    2,180.50x = 3,093,125.93
  5. Step 5: Solve for x
    x = 3,093,125.93/2,180.50
  6. Step 6: Final answer
    x = 1,418.54

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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.