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Finding the Fourth Proportional to 8,262.18, 12,397.14 and 3,879

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Solution

The fourth proportional to 8,262.18, 12,397.14 and 3,879 is: 5,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.18 : 12,397.14 = 3,879 : x
  2. Step 2: Convert to fraction form
    8,262.18/12,397.14 = 3,879/x
  3. Step 3: Cross multiply
    8,262.18x = 12,397.14 × 3,879
  4. Step 4: Simplify right side
    8,262.18x = 48,088,506.06
  5. Step 5: Solve for x
    x = 48,088,506.06/8,262.18
  6. Step 6: Final answer
    x = 5,820.32

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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.