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Finding the Fourth Proportional to 20,249.28, 30,372 and 9,717.12

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Solution

The fourth proportional to 20,249.28, 30,372 and 9,717.12 is: 14,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249.28 : 30,372 = 9,717.12 : x
  2. Step 2: Convert to fraction form
    20,249.28/30,372 = 9,717.12/x
  3. Step 3: Cross multiply
    20,249.28x = 30,372 × 9,717.12
  4. Step 4: Simplify right side
    20,249.28x = 295,128,368.64
  5. Step 5: Solve for x
    x = 295,128,368.64/20,249.28
  6. Step 6: Final answer
    x = 14,574.76

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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.