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Finding the Fourth Proportional to 8,582.81, 12,872.70 and 3,901.73

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Solution

The fourth proportional to 8,582.81, 12,872.70 and 3,901.73 is: 5,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.81 : 12,872.70 = 3,901.73 : x
  2. Step 2: Convert to fraction form
    8,582.81/12,872.70 = 3,901.73/x
  3. Step 3: Cross multiply
    8,582.81x = 12,872.70 × 3,901.73
  4. Step 4: Simplify right side
    8,582.81x = 50,225,735.41
  5. Step 5: Solve for x
    x = 50,225,735.41/8,582.81
  6. Step 6: Final answer
    x = 5,851.90

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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.