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Finding the Fourth Proportional to 11,691.23, 16,141.16 and 7,444.67

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Solution

The fourth proportional to 11,691.23, 16,141.16 and 7,444.67 is: 10,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.23 : 16,141.16 = 7,444.67 : x
  2. Step 2: Convert to fraction form
    11,691.23/16,141.16 = 7,444.67/x
  3. Step 3: Cross multiply
    11,691.23x = 16,141.16 × 7,444.67
  4. Step 4: Simplify right side
    11,691.23x = 120,165,572.39
  5. Step 5: Solve for x
    x = 120,165,572.39/11,691.23
  6. Step 6: Final answer
    x = 10,278.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.