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Finding the Fourth Proportional to 8,218.83, 12,332.34 and 3,839.43

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Solution

The fourth proportional to 8,218.83, 12,332.34 and 3,839.43 is: 5,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.83 : 12,332.34 = 3,839.43 : x
  2. Step 2: Convert to fraction form
    8,218.83/12,332.34 = 3,839.43/x
  3. Step 3: Cross multiply
    8,218.83x = 12,332.34 × 3,839.43
  4. Step 4: Simplify right side
    8,218.83x = 47,349,156.17
  5. Step 5: Solve for x
    x = 47,349,156.17/8,218.83
  6. Step 6: Final answer
    x = 5,761.06

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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.