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Finding the Fourth Proportional to 8,074.32, 11,147.76 and 7,233.54

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Solution

The fourth proportional to 8,074.32, 11,147.76 and 7,233.54 is: 9,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.32 : 11,147.76 = 7,233.54 : x
  2. Step 2: Convert to fraction form
    8,074.32/11,147.76 = 7,233.54/x
  3. Step 3: Cross multiply
    8,074.32x = 11,147.76 × 7,233.54
  4. Step 4: Simplify right side
    8,074.32x = 80,637,767.87
  5. Step 5: Solve for x
    x = 80,637,767.87/8,074.32
  6. Step 6: Final answer
    x = 9,986.94

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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.