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Finding the Fourth Proportional to 7,097.92, 9,790.68 and 5,105.32

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Solution

The fourth proportional to 7,097.92, 9,790.68 and 5,105.32 is: 7,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.92 : 9,790.68 = 5,105.32 : x
  2. Step 2: Convert to fraction form
    7,097.92/9,790.68 = 5,105.32/x
  3. Step 3: Cross multiply
    7,097.92x = 9,790.68 × 5,105.32
  4. Step 4: Simplify right side
    7,097.92x = 49,984,554.42
  5. Step 5: Solve for x
    x = 49,984,554.42/7,097.92
  6. Step 6: Final answer
    x = 7,042.14

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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.