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Finding the Fourth Proportional to 20,936.22, 31,392.18 and 8,446.02

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Solution

The fourth proportional to 20,936.22, 31,392.18 and 8,446.02 is: 12,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,936.22 : 31,392.18 = 8,446.02 : x
  2. Step 2: Convert to fraction form
    20,936.22/31,392.18 = 8,446.02/x
  3. Step 3: Cross multiply
    20,936.22x = 31,392.18 × 8,446.02
  4. Step 4: Simplify right side
    20,936.22x = 265,138,980.12
  5. Step 5: Solve for x
    x = 265,138,980.12/20,936.22
  6. Step 6: Final answer
    x = 12,664.13

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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.