Home / 2,022.66-3,032.24-981.20

Finding the Fourth Proportional to 2,022.66, 3,032.24 and 981.20

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Solution

The fourth proportional to 2,022.66, 3,032.24 and 981.20 is: 1,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.66 : 3,032.24 = 981.20 : x
  2. Step 2: Convert to fraction form
    2,022.66/3,032.24 = 981.20/x
  3. Step 3: Cross multiply
    2,022.66x = 3,032.24 × 981.20
  4. Step 4: Simplify right side
    2,022.66x = 2,975,236.56
  5. Step 5: Solve for x
    x = 2,975,236.56/2,022.66
  6. Step 6: Final answer
    x = 1,470.95

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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.