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Finding the Fourth Proportional to 12,364, 17,062.32 and 6,775

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Solution

The fourth proportional to 12,364, 17,062.32 and 6,775 is: 9,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364 : 17,062.32 = 6,775 : x
  2. Step 2: Convert to fraction form
    12,364/17,062.32 = 6,775/x
  3. Step 3: Cross multiply
    12,364x = 17,062.32 × 6,775
  4. Step 4: Simplify right side
    12,364x = 115,597,218
  5. Step 5: Solve for x
    x = 115,597,218/12,364
  6. Step 6: Final answer
    x = 9,349.50

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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.