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Finding the Fourth Proportional to 7,078.96, 9,769.01 and 3,892.47

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Solution

The fourth proportional to 7,078.96, 9,769.01 and 3,892.47 is: 5,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.96 : 9,769.01 = 3,892.47 : x
  2. Step 2: Convert to fraction form
    7,078.96/9,769.01 = 3,892.47/x
  3. Step 3: Cross multiply
    7,078.96x = 9,769.01 × 3,892.47
  4. Step 4: Simplify right side
    7,078.96x = 38,025,527.65
  5. Step 5: Solve for x
    x = 38,025,527.65/7,078.96
  6. Step 6: Final answer
    x = 5,371.62

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Why These Related Problems?

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