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Finding the Fourth Proportional to 9,540.94, 13,166.50 and 5,349.19

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Solution

The fourth proportional to 9,540.94, 13,166.50 and 5,349.19 is: 7,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.94 : 13,166.50 = 5,349.19 : x
  2. Step 2: Convert to fraction form
    9,540.94/13,166.50 = 5,349.19/x
  3. Step 3: Cross multiply
    9,540.94x = 13,166.50 × 5,349.19
  4. Step 4: Simplify right side
    9,540.94x = 70,430,098.56
  5. Step 5: Solve for x
    x = 70,430,098.56/9,540.94
  6. Step 6: Final answer
    x = 7,381.88

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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.