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Finding the Fourth Proportional to 9,517.10, 13,134.66 and 5,742.09

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Solution

The fourth proportional to 9,517.10, 13,134.66 and 5,742.09 is: 7,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.10 : 13,134.66 = 5,742.09 : x
  2. Step 2: Convert to fraction form
    9,517.10/13,134.66 = 5,742.09/x
  3. Step 3: Cross multiply
    9,517.10x = 13,134.66 × 5,742.09
  4. Step 4: Simplify right side
    9,517.10x = 75,420,378.31
  5. Step 5: Solve for x
    x = 75,420,378.31/9,517.10
  6. Step 6: Final answer
    x = 7,924.73

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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.