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Finding the Fourth Proportional to 6,993.78, 9,630.60 and 6,838.56

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Solution

The fourth proportional to 6,993.78, 9,630.60 and 6,838.56 is: 9,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.78 : 9,630.60 = 6,838.56 : x
  2. Step 2: Convert to fraction form
    6,993.78/9,630.60 = 6,838.56/x
  3. Step 3: Cross multiply
    6,993.78x = 9,630.60 × 6,838.56
  4. Step 4: Simplify right side
    6,993.78x = 65,859,435.94
  5. Step 5: Solve for x
    x = 65,859,435.94/6,993.78
  6. Step 6: Final answer
    x = 9,416.86

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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.