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Finding the Fourth Proportional to 2,022.70, 3,032.70 and 983.20

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Solution

The fourth proportional to 2,022.70, 3,032.70 and 983.20 is: 1,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.70 : 3,032.70 = 983.20 : x
  2. Step 2: Convert to fraction form
    2,022.70/3,032.70 = 983.20/x
  3. Step 3: Cross multiply
    2,022.70x = 3,032.70 × 983.20
  4. Step 4: Simplify right side
    2,022.70x = 2,981,750.64
  5. Step 5: Solve for x
    x = 2,981,750.64/2,022.70
  6. Step 6: Final answer
    x = 1,474.14

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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.