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Finding the Fourth Proportional to 11,698.57, 16,144.03 and 6,393.38

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Solution

The fourth proportional to 11,698.57, 16,144.03 and 6,393.38 is: 8,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.57 : 16,144.03 = 6,393.38 : x
  2. Step 2: Convert to fraction form
    11,698.57/16,144.03 = 6,393.38/x
  3. Step 3: Cross multiply
    11,698.57x = 16,144.03 × 6,393.38
  4. Step 4: Simplify right side
    11,698.57x = 103,214,954.89
  5. Step 5: Solve for x
    x = 103,214,954.89/11,698.57
  6. Step 6: Final answer
    x = 8,822.87

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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.