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Finding the Fourth Proportional to 20,067.54, 30,103.74 and 9,672

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Solution

The fourth proportional to 20,067.54, 30,103.74 and 9,672 is: 14,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.54 : 30,103.74 = 9,672 : x
  2. Step 2: Convert to fraction form
    20,067.54/30,103.74 = 9,672/x
  3. Step 3: Cross multiply
    20,067.54x = 30,103.74 × 9,672
  4. Step 4: Simplify right side
    20,067.54x = 291,163,373.28
  5. Step 5: Solve for x
    x = 291,163,373.28/20,067.54
  6. Step 6: Final answer
    x = 14,509.17

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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.