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Finding the Fourth Proportional to 2,032.11, 3,048.03 and 922.59

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Solution

The fourth proportional to 2,032.11, 3,048.03 and 922.59 is: 1,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.11 : 3,048.03 = 922.59 : x
  2. Step 2: Convert to fraction form
    2,032.11/3,048.03 = 922.59/x
  3. Step 3: Cross multiply
    2,032.11x = 3,048.03 × 922.59
  4. Step 4: Simplify right side
    2,032.11x = 2,812,082.00
  5. Step 5: Solve for x
    x = 2,812,082.00/2,032.11
  6. Step 6: Final answer
    x = 1,383.82

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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.