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Finding the Fourth Proportional to 2,067.88, 3,101.84 and 528.88

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Solution

The fourth proportional to 2,067.88, 3,101.84 and 528.88 is: 793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.88 : 3,101.84 = 528.88 : x
  2. Step 2: Convert to fraction form
    2,067.88/3,101.84 = 528.88/x
  3. Step 3: Cross multiply
    2,067.88x = 3,101.84 × 528.88
  4. Step 4: Simplify right side
    2,067.88x = 1,640,482.99
  5. Step 5: Solve for x
    x = 1,640,482.99/2,067.88
  6. Step 6: Final answer
    x = 793.32

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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.