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Finding the Fourth Proportional to 3,524.77, 5,286.90 and 927.70

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Solution

The fourth proportional to 3,524.77, 5,286.90 and 927.70 is: 1,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.77 : 5,286.90 = 927.70 : x
  2. Step 2: Convert to fraction form
    3,524.77/5,286.90 = 927.70/x
  3. Step 3: Cross multiply
    3,524.77x = 5,286.90 × 927.70
  4. Step 4: Simplify right side
    3,524.77x = 4,904,657.13
  5. Step 5: Solve for x
    x = 4,904,657.13/3,524.77
  6. Step 6: Final answer
    x = 1,391.48

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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.