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Finding the Fourth Proportional to 9,288.10, 13,940.97 and 5,767.44

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Solution

The fourth proportional to 9,288.10, 13,940.97 and 5,767.44 is: 8,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.10 : 13,940.97 = 5,767.44 : x
  2. Step 2: Convert to fraction form
    9,288.10/13,940.97 = 5,767.44/x
  3. Step 3: Cross multiply
    9,288.10x = 13,940.97 × 5,767.44
  4. Step 4: Simplify right side
    9,288.10x = 80,403,708.02
  5. Step 5: Solve for x
    x = 80,403,708.02/9,288.10
  6. Step 6: Final answer
    x = 8,656.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.