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Finding the Fourth Proportional to 11,947, 16,486.88 and 6,979

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Solution

The fourth proportional to 11,947, 16,486.88 and 6,979 is: 9,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947 : 16,486.88 = 6,979 : x
  2. Step 2: Convert to fraction form
    11,947/16,486.88 = 6,979/x
  3. Step 3: Cross multiply
    11,947x = 16,486.88 × 6,979
  4. Step 4: Simplify right side
    11,947x = 115,061,935.52
  5. Step 5: Solve for x
    x = 115,061,935.52/11,947
  6. Step 6: Final answer
    x = 9,631.03

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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.