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Finding the Fourth Proportional to 2,027.07, 3,040.59 and 488.07

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Solution

The fourth proportional to 2,027.07, 3,040.59 and 488.07 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.07 : 3,040.59 = 488.07 : x
  2. Step 2: Convert to fraction form
    2,027.07/3,040.59 = 488.07/x
  3. Step 3: Cross multiply
    2,027.07x = 3,040.59 × 488.07
  4. Step 4: Simplify right side
    2,027.07x = 1,484,020.76
  5. Step 5: Solve for x
    x = 1,484,020.76/2,027.07
  6. Step 6: Final answer
    x = 732.10

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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.