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Finding the Fourth Proportional to 7,105.41, 9,815.39 and 6,731.73

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Solution

The fourth proportional to 7,105.41, 9,815.39 and 6,731.73 is: 9,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.41 : 9,815.39 = 6,731.73 : x
  2. Step 2: Convert to fraction form
    7,105.41/9,815.39 = 6,731.73/x
  3. Step 3: Cross multiply
    7,105.41x = 9,815.39 × 6,731.73
  4. Step 4: Simplify right side
    7,105.41x = 66,074,521.67
  5. Step 5: Solve for x
    x = 66,074,521.67/7,105.41
  6. Step 6: Final answer
    x = 9,299.18

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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.