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Finding the Fourth Proportional to 8,240, 12,361.92 and 2,768

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Solution

The fourth proportional to 8,240, 12,361.92 and 2,768 is: 4,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240 : 12,361.92 = 2,768 : x
  2. Step 2: Convert to fraction form
    8,240/12,361.92 = 2,768/x
  3. Step 3: Cross multiply
    8,240x = 12,361.92 × 2,768
  4. Step 4: Simplify right side
    8,240x = 34,217,794.56
  5. Step 5: Solve for x
    x = 34,217,794.56/8,240
  6. Step 6: Final answer
    x = 4,152.64

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Why These Related Problems?

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