Home / 3,022.62-4,534.08-942.78

Finding the Fourth Proportional to 3,022.62, 4,534.08 and 942.78

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Solution

The fourth proportional to 3,022.62, 4,534.08 and 942.78 is: 1,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.62 : 4,534.08 = 942.78 : x
  2. Step 2: Convert to fraction form
    3,022.62/4,534.08 = 942.78/x
  3. Step 3: Cross multiply
    3,022.62x = 4,534.08 × 942.78
  4. Step 4: Simplify right side
    3,022.62x = 4,274,639.94
  5. Step 5: Solve for x
    x = 4,274,639.94/3,022.62
  6. Step 6: Final answer
    x = 1,414.22

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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.