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Finding the Fourth Proportional to 11,931, 16,464.78 and 6,963

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Solution

The fourth proportional to 11,931, 16,464.78 and 6,963 is: 9,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931 : 16,464.78 = 6,963 : x
  2. Step 2: Convert to fraction form
    11,931/16,464.78 = 6,963/x
  3. Step 3: Cross multiply
    11,931x = 16,464.78 × 6,963
  4. Step 4: Simplify right side
    11,931x = 114,644,263.14
  5. Step 5: Solve for x
    x = 114,644,263.14/11,931
  6. Step 6: Final answer
    x = 9,608.94

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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.