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Finding the Fourth Proportional to 7,162.74, 9,882.14 and 4,176.12

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Solution

The fourth proportional to 7,162.74, 9,882.14 and 4,176.12 is: 5,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.74 : 9,882.14 = 4,176.12 : x
  2. Step 2: Convert to fraction form
    7,162.74/9,882.14 = 4,176.12/x
  3. Step 3: Cross multiply
    7,162.74x = 9,882.14 × 4,176.12
  4. Step 4: Simplify right side
    7,162.74x = 41,269,002.50
  5. Step 5: Solve for x
    x = 41,269,002.50/7,162.74
  6. Step 6: Final answer
    x = 5,761.62

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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.