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Finding the Fourth Proportional to 11,697.81, 16,143.20 and 6,392.97

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Solution

The fourth proportional to 11,697.81, 16,143.20 and 6,392.97 is: 8,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.81 : 16,143.20 = 6,392.97 : x
  2. Step 2: Convert to fraction form
    11,697.81/16,143.20 = 6,392.97/x
  3. Step 3: Cross multiply
    11,697.81x = 16,143.20 × 6,392.97
  4. Step 4: Simplify right side
    11,697.81x = 103,202,961.34
  5. Step 5: Solve for x
    x = 103,202,961.34/11,697.81
  6. Step 6: Final answer
    x = 8,822.42

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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.