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Finding the Fourth Proportional to 6,737.74, 9,290.91 and 3,942.70

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Solution

The fourth proportional to 6,737.74, 9,290.91 and 3,942.70 is: 5,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.74 : 9,290.91 = 3,942.70 : x
  2. Step 2: Convert to fraction form
    6,737.74/9,290.91 = 3,942.70/x
  3. Step 3: Cross multiply
    6,737.74x = 9,290.91 × 3,942.70
  4. Step 4: Simplify right side
    6,737.74x = 36,631,270.86
  5. Step 5: Solve for x
    x = 36,631,270.86/6,737.74
  6. Step 6: Final answer
    x = 5,436.73

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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.