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Finding the Fourth Proportional to 3,278.88, 4,524.78 and 1,786.82

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Solution

The fourth proportional to 3,278.88, 4,524.78 and 1,786.82 is: 2,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.88 : 4,524.78 = 1,786.82 : x
  2. Step 2: Convert to fraction form
    3,278.88/4,524.78 = 1,786.82/x
  3. Step 3: Cross multiply
    3,278.88x = 4,524.78 × 1,786.82
  4. Step 4: Simplify right side
    3,278.88x = 8,084,967.40
  5. Step 5: Solve for x
    x = 8,084,967.40/3,278.88
  6. Step 6: Final answer
    x = 2,465.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.