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Finding the Fourth Proportional to 8,383.89, 12,581.14 and 4,871.73

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Solution

The fourth proportional to 8,383.89, 12,581.14 and 4,871.73 is: 7,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.89 : 12,581.14 = 4,871.73 : x
  2. Step 2: Convert to fraction form
    8,383.89/12,581.14 = 4,871.73/x
  3. Step 3: Cross multiply
    8,383.89x = 12,581.14 × 4,871.73
  4. Step 4: Simplify right side
    8,383.89x = 61,291,917.17
  5. Step 5: Solve for x
    x = 61,291,917.17/8,383.89
  6. Step 6: Final answer
    x = 7,310.68

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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.