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Finding the Fourth Proportional to 26,451, 39,677.58 and 7,983

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Solution

The fourth proportional to 26,451, 39,677.58 and 7,983 is: 11,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,451 : 39,677.58 = 7,983 : x
  2. Step 2: Convert to fraction form
    26,451/39,677.58 = 7,983/x
  3. Step 3: Cross multiply
    26,451x = 39,677.58 × 7,983
  4. Step 4: Simplify right side
    26,451x = 316,746,121.14
  5. Step 5: Solve for x
    x = 316,746,121.14/26,451
  6. Step 6: Final answer
    x = 11,974.83

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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.