Home / 2,822.32-4,233.84-1,180

Finding the Fourth Proportional to 2,822.32, 4,233.84 and 1,180

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Solution

The fourth proportional to 2,822.32, 4,233.84 and 1,180 is: 1,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.32 : 4,233.84 = 1,180 : x
  2. Step 2: Convert to fraction form
    2,822.32/4,233.84 = 1,180/x
  3. Step 3: Cross multiply
    2,822.32x = 4,233.84 × 1,180
  4. Step 4: Simplify right side
    2,822.32x = 4,995,931.20
  5. Step 5: Solve for x
    x = 4,995,931.20/2,822.32
  6. Step 6: Final answer
    x = 1,770.15

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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.