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Finding the Fourth Proportional to 6,944.94, 10,429.97 and 6,388.63

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Solution

The fourth proportional to 6,944.94, 10,429.97 and 6,388.63 is: 9,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.94 : 10,429.97 = 6,388.63 : x
  2. Step 2: Convert to fraction form
    6,944.94/10,429.97 = 6,388.63/x
  3. Step 3: Cross multiply
    6,944.94x = 10,429.97 × 6,388.63
  4. Step 4: Simplify right side
    6,944.94x = 66,633,146.56
  5. Step 5: Solve for x
    x = 66,633,146.56/6,944.94
  6. Step 6: Final answer
    x = 9,594.48

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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.