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Finding the Fourth Proportional to 8,422.72, 12,628.02 and 3,977.92

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Solution

The fourth proportional to 8,422.72, 12,628.02 and 3,977.92 is: 5,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.72 : 12,628.02 = 3,977.92 : x
  2. Step 2: Convert to fraction form
    8,422.72/12,628.02 = 3,977.92/x
  3. Step 3: Cross multiply
    8,422.72x = 12,628.02 × 3,977.92
  4. Step 4: Simplify right side
    8,422.72x = 50,233,253.32
  5. Step 5: Solve for x
    x = 50,233,253.32/8,422.72
  6. Step 6: Final answer
    x = 5,964.02

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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.