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Finding the Fourth Proportional to 8,297.82, 12,448.67 and 2,750.76

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Solution

The fourth proportional to 8,297.82, 12,448.67 and 2,750.76 is: 4,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.82 : 12,448.67 = 2,750.76 : x
  2. Step 2: Convert to fraction form
    8,297.82/12,448.67 = 2,750.76/x
  3. Step 3: Cross multiply
    8,297.82x = 12,448.67 × 2,750.76
  4. Step 4: Simplify right side
    8,297.82x = 34,243,289.74
  5. Step 5: Solve for x
    x = 34,243,289.74/8,297.82
  6. Step 6: Final answer
    x = 4,126.78

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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.