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Finding the Fourth Proportional to 8,269.92, 12,410.40 and 3,076.32

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Solution

The fourth proportional to 8,269.92, 12,410.40 and 3,076.32 is: 4,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.92 : 12,410.40 = 3,076.32 : x
  2. Step 2: Convert to fraction form
    8,269.92/12,410.40 = 3,076.32/x
  3. Step 3: Cross multiply
    8,269.92x = 12,410.40 × 3,076.32
  4. Step 4: Simplify right side
    8,269.92x = 38,178,361.73
  5. Step 5: Solve for x
    x = 38,178,361.73/8,269.92
  6. Step 6: Final answer
    x = 4,616.53

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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.