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Finding the Fourth Proportional to 2,027.70, 3,039.87 and 872.82

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Solution

The fourth proportional to 2,027.70, 3,039.87 and 872.82 is: 1,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.70 : 3,039.87 = 872.82 : x
  2. Step 2: Convert to fraction form
    2,027.70/3,039.87 = 872.82/x
  3. Step 3: Cross multiply
    2,027.70x = 3,039.87 × 872.82
  4. Step 4: Simplify right side
    2,027.70x = 2,653,259.33
  5. Step 5: Solve for x
    x = 2,653,259.33/2,027.70
  6. Step 6: Final answer
    x = 1,308.51

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1.5x scale

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.