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Finding the Fourth Proportional to 8,234.34, 12,351.51 and 3,854.88

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Solution

The fourth proportional to 8,234.34, 12,351.51 and 3,854.88 is: 5,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.34 : 12,351.51 = 3,854.88 : x
  2. Step 2: Convert to fraction form
    8,234.34/12,351.51 = 3,854.88/x
  3. Step 3: Cross multiply
    8,234.34x = 12,351.51 × 3,854.88
  4. Step 4: Simplify right side
    8,234.34x = 47,613,588.87
  5. Step 5: Solve for x
    x = 47,613,588.87/8,234.34
  6. Step 6: Final answer
    x = 5,782.32

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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.