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Finding the Fourth Proportional to 9,892.22, 13,651.43 and 6,115.28

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Solution

The fourth proportional to 9,892.22, 13,651.43 and 6,115.28 is: 8,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.22 : 13,651.43 = 6,115.28 : x
  2. Step 2: Convert to fraction form
    9,892.22/13,651.43 = 6,115.28/x
  3. Step 3: Cross multiply
    9,892.22x = 13,651.43 × 6,115.28
  4. Step 4: Simplify right side
    9,892.22x = 83,482,286.27
  5. Step 5: Solve for x
    x = 83,482,286.27/9,892.22
  6. Step 6: Final answer
    x = 8,439.19

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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.