Home / 2,180.16-3,269.84-719.12

Finding the Fourth Proportional to 2,180.16, 3,269.84 and 719.12

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Solution

The fourth proportional to 2,180.16, 3,269.84 and 719.12 is: 1,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.16 : 3,269.84 = 719.12 : x
  2. Step 2: Convert to fraction form
    2,180.16/3,269.84 = 719.12/x
  3. Step 3: Cross multiply
    2,180.16x = 3,269.84 × 719.12
  4. Step 4: Simplify right side
    2,180.16x = 2,351,407.34
  5. Step 5: Solve for x
    x = 2,351,407.34/2,180.16
  6. Step 6: Final answer
    x = 1,078.55

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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.