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Finding the Fourth Proportional to 21,956.80, 32,928.72 and 12,094.24

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Solution

The fourth proportional to 21,956.80, 32,928.72 and 12,094.24 is: 18,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.80 : 32,928.72 = 12,094.24 : x
  2. Step 2: Convert to fraction form
    21,956.80/32,928.72 = 12,094.24/x
  3. Step 3: Cross multiply
    21,956.80x = 32,928.72 × 12,094.24
  4. Step 4: Simplify right side
    21,956.80x = 398,247,842.57
  5. Step 5: Solve for x
    x = 398,247,842.57/21,956.80
  6. Step 6: Final answer
    x = 18,137.79

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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.