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Finding the Fourth Proportional to 7,640.27, 11,462.14 and 2,709.91

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Solution

The fourth proportional to 7,640.27, 11,462.14 and 2,709.91 is: 4,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.27 : 11,462.14 = 2,709.91 : x
  2. Step 2: Convert to fraction form
    7,640.27/11,462.14 = 2,709.91/x
  3. Step 3: Cross multiply
    7,640.27x = 11,462.14 × 2,709.91
  4. Step 4: Simplify right side
    7,640.27x = 31,061,367.81
  5. Step 5: Solve for x
    x = 31,061,367.81/7,640.27
  6. Step 6: Final answer
    x = 4,065.48

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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.