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Finding the Fourth Proportional to 26,231.39, 39,347.03 and 8,221

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Solution

The fourth proportional to 26,231.39, 39,347.03 and 8,221 is: 12,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,231.39 : 39,347.03 = 8,221 : x
  2. Step 2: Convert to fraction form
    26,231.39/39,347.03 = 8,221/x
  3. Step 3: Cross multiply
    26,231.39x = 39,347.03 × 8,221
  4. Step 4: Simplify right side
    26,231.39x = 323,471,933.63
  5. Step 5: Solve for x
    x = 323,471,933.63/26,231.39
  6. Step 6: Final answer
    x = 12,331.48

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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.