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Finding the Fourth Proportional to 3,678.86, 5,524.80 and 3,385.73

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Solution

The fourth proportional to 3,678.86, 5,524.80 and 3,385.73 is: 5,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.86 : 5,524.80 = 3,385.73 : x
  2. Step 2: Convert to fraction form
    3,678.86/5,524.80 = 3,385.73/x
  3. Step 3: Cross multiply
    3,678.86x = 5,524.80 × 3,385.73
  4. Step 4: Simplify right side
    3,678.86x = 18,705,453.48
  5. Step 5: Solve for x
    x = 18,705,453.48/3,678.86
  6. Step 6: Final answer
    x = 5,084.59

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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.