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Finding the Fourth Proportional to 7,091.34, 10,633.92 and 2,159.82

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Solution

The fourth proportional to 7,091.34, 10,633.92 and 2,159.82 is: 3,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.34 : 10,633.92 = 2,159.82 : x
  2. Step 2: Convert to fraction form
    7,091.34/10,633.92 = 2,159.82/x
  3. Step 3: Cross multiply
    7,091.34x = 10,633.92 × 2,159.82
  4. Step 4: Simplify right side
    7,091.34x = 22,967,353.09
  5. Step 5: Solve for x
    x = 22,967,353.09/7,091.34
  6. Step 6: Final answer
    x = 3,238.79

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