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Finding the Fourth Proportional to 9,310.88, 12,849.28 and 5,119.14

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Solution

The fourth proportional to 9,310.88, 12,849.28 and 5,119.14 is: 7,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.88 : 12,849.28 = 5,119.14 : x
  2. Step 2: Convert to fraction form
    9,310.88/12,849.28 = 5,119.14/x
  3. Step 3: Cross multiply
    9,310.88x = 12,849.28 × 5,119.14
  4. Step 4: Simplify right side
    9,310.88x = 65,777,263.22
  5. Step 5: Solve for x
    x = 65,777,263.22/9,310.88
  6. Step 6: Final answer
    x = 7,064.56

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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.