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Finding the Fourth Proportional to 8,074.76, 11,145.87 and 5,682.69

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Solution

The fourth proportional to 8,074.76, 11,145.87 and 5,682.69 is: 7,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.76 : 11,145.87 = 5,682.69 : x
  2. Step 2: Convert to fraction form
    8,074.76/11,145.87 = 5,682.69/x
  3. Step 3: Cross multiply
    8,074.76x = 11,145.87 × 5,682.69
  4. Step 4: Simplify right side
    8,074.76x = 63,338,523.99
  5. Step 5: Solve for x
    x = 63,338,523.99/8,074.76
  6. Step 6: Final answer
    x = 7,844.02

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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.