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Finding the Fourth Proportional to 21,806.20, 32,723.70 and 12,446.20

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Solution

The fourth proportional to 21,806.20, 32,723.70 and 12,446.20 is: 18,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.20 : 32,723.70 = 12,446.20 : x
  2. Step 2: Convert to fraction form
    21,806.20/32,723.70 = 12,446.20/x
  3. Step 3: Cross multiply
    21,806.20x = 32,723.70 × 12,446.20
  4. Step 4: Simplify right side
    21,806.20x = 407,285,714.94
  5. Step 5: Solve for x
    x = 407,285,714.94/21,806.20
  6. Step 6: Final answer
    x = 18,677.52

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1.5x scale

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.