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Finding the Fourth Proportional to 11,956, 16,486.80 and 7,238.56

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Solution

The fourth proportional to 11,956, 16,486.80 and 7,238.56 is: 9,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956 : 16,486.80 = 7,238.56 : x
  2. Step 2: Convert to fraction form
    11,956/16,486.80 = 7,238.56/x
  3. Step 3: Cross multiply
    11,956x = 16,486.80 × 7,238.56
  4. Step 4: Simplify right side
    11,956x = 119,340,691.01
  5. Step 5: Solve for x
    x = 119,340,691.01/11,956
  6. Step 6: Final answer
    x = 9,981.66

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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.