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Finding the Fourth Proportional to 7,076.38, 10,615.11 and 1,882.12

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Solution

The fourth proportional to 7,076.38, 10,615.11 and 1,882.12 is: 2,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.38 : 10,615.11 = 1,882.12 : x
  2. Step 2: Convert to fraction form
    7,076.38/10,615.11 = 1,882.12/x
  3. Step 3: Cross multiply
    7,076.38x = 10,615.11 × 1,882.12
  4. Step 4: Simplify right side
    7,076.38x = 19,978,910.83
  5. Step 5: Solve for x
    x = 19,978,910.83/7,076.38
  6. Step 6: Final answer
    x = 2,823.32

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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.