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Finding the Fourth Proportional to 2,027.11, 3,040.67 and 488.11

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Solution

The fourth proportional to 2,027.11, 3,040.67 and 488.11 is: 732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.11 : 3,040.67 = 488.11 : x
  2. Step 2: Convert to fraction form
    2,027.11/3,040.67 = 488.11/x
  3. Step 3: Cross multiply
    2,027.11x = 3,040.67 × 488.11
  4. Step 4: Simplify right side
    2,027.11x = 1,484,178.01
  5. Step 5: Solve for x
    x = 1,484,178.01/2,027.11
  6. Step 6: Final answer
    x = 732.16

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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.