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Finding the Fourth Proportional to 9,540.81, 13,165.93 and 5,766.19

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Solution

The fourth proportional to 9,540.81, 13,165.93 and 5,766.19 is: 7,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.81 : 13,165.93 = 5,766.19 : x
  2. Step 2: Convert to fraction form
    9,540.81/13,165.93 = 5,766.19/x
  3. Step 3: Cross multiply
    9,540.81x = 13,165.93 × 5,766.19
  4. Step 4: Simplify right side
    9,540.81x = 75,917,253.91
  5. Step 5: Solve for x
    x = 75,917,253.91/9,540.81
  6. Step 6: Final answer
    x = 7,957.11

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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.