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Finding the Fourth Proportional to 8,422.92, 12,632.21 and 2,498.41

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Solution

The fourth proportional to 8,422.92, 12,632.21 and 2,498.41 is: 3,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.92 : 12,632.21 = 2,498.41 : x
  2. Step 2: Convert to fraction form
    8,422.92/12,632.21 = 2,498.41/x
  3. Step 3: Cross multiply
    8,422.92x = 12,632.21 × 2,498.41
  4. Step 4: Simplify right side
    8,422.92x = 31,560,439.79
  5. Step 5: Solve for x
    x = 31,560,439.79/8,422.92
  6. Step 6: Final answer
    x = 3,746.97

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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.