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Finding the Fourth Proportional to 20,920.66, 31,361.76 and 9,067

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Solution

The fourth proportional to 20,920.66, 31,361.76 and 9,067 is: 13,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.66 : 31,361.76 = 9,067 : x
  2. Step 2: Convert to fraction form
    20,920.66/31,361.76 = 9,067/x
  3. Step 3: Cross multiply
    20,920.66x = 31,361.76 × 9,067
  4. Step 4: Simplify right side
    20,920.66x = 284,357,077.92
  5. Step 5: Solve for x
    x = 284,357,077.92/20,920.66
  6. Step 6: Final answer
    x = 13,592.17

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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.