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Finding the Fourth Proportional to 8,536.82, 12,805.20 and 3,971.99

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Solution

The fourth proportional to 8,536.82, 12,805.20 and 3,971.99 is: 5,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.82 : 12,805.20 = 3,971.99 : x
  2. Step 2: Convert to fraction form
    8,536.82/12,805.20 = 3,971.99/x
  3. Step 3: Cross multiply
    8,536.82x = 12,805.20 × 3,971.99
  4. Step 4: Simplify right side
    8,536.82x = 50,862,062.32
  5. Step 5: Solve for x
    x = 50,862,062.32/8,536.82
  6. Step 6: Final answer
    x = 5,957.96

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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.