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Finding the Fourth Proportional to 18,644.32, 27,965.57 and 6,956.63

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Solution

The fourth proportional to 18,644.32, 27,965.57 and 6,956.63 is: 10,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.32 : 27,965.57 = 6,956.63 : x
  2. Step 2: Convert to fraction form
    18,644.32/27,965.57 = 6,956.63/x
  3. Step 3: Cross multiply
    18,644.32x = 27,965.57 × 6,956.63
  4. Step 4: Simplify right side
    18,644.32x = 194,545,948.62
  5. Step 5: Solve for x
    x = 194,545,948.62/18,644.32
  6. Step 6: Final answer
    x = 10,434.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.