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Finding the Fourth Proportional to 8,205.81, 12,312.81 and 3,823.61

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Solution

The fourth proportional to 8,205.81, 12,312.81 and 3,823.61 is: 5,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.81 : 12,312.81 = 3,823.61 : x
  2. Step 2: Convert to fraction form
    8,205.81/12,312.81 = 3,823.61/x
  3. Step 3: Cross multiply
    8,205.81x = 12,312.81 × 3,823.61
  4. Step 4: Simplify right side
    8,205.81x = 47,079,321.88
  5. Step 5: Solve for x
    x = 47,079,321.88/8,205.81
  6. Step 6: Final answer
    x = 5,737.32

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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.