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Finding the Fourth Proportional to 2,027.81, 3,041.72 and 488.81

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Solution

The fourth proportional to 2,027.81, 3,041.72 and 488.81 is: 733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.81 : 3,041.72 = 488.81 : x
  2. Step 2: Convert to fraction form
    2,027.81/3,041.72 = 488.81/x
  3. Step 3: Cross multiply
    2,027.81x = 3,041.72 × 488.81
  4. Step 4: Simplify right side
    2,027.81x = 1,486,830.15
  5. Step 5: Solve for x
    x = 1,486,830.15/2,027.81
  6. Step 6: Final answer
    x = 733.22

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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.