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Finding the Fourth Proportional to 8,290.17, 11,434.23 and 5,772.42

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Solution

The fourth proportional to 8,290.17, 11,434.23 and 5,772.42 is: 7,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.17 : 11,434.23 = 5,772.42 : x
  2. Step 2: Convert to fraction form
    8,290.17/11,434.23 = 5,772.42/x
  3. Step 3: Cross multiply
    8,290.17x = 11,434.23 × 5,772.42
  4. Step 4: Simplify right side
    8,290.17x = 66,003,177.94
  5. Step 5: Solve for x
    x = 66,003,177.94/8,290.17
  6. Step 6: Final answer
    x = 7,961.62

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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.