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Finding the Fourth Proportional to 20,642.72, 30,965.52 and 8,956.64

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Solution

The fourth proportional to 20,642.72, 30,965.52 and 8,956.64 is: 13,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.72 : 30,965.52 = 8,956.64 : x
  2. Step 2: Convert to fraction form
    20,642.72/30,965.52 = 8,956.64/x
  3. Step 3: Cross multiply
    20,642.72x = 30,965.52 × 8,956.64
  4. Step 4: Simplify right side
    20,642.72x = 277,347,015.05
  5. Step 5: Solve for x
    x = 277,347,015.05/20,642.72
  6. Step 6: Final answer
    x = 13,435.58

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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.