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Finding the Fourth Proportional to 21,874.60, 32,826.40 and 12,020.76

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Solution

The fourth proportional to 21,874.60, 32,826.40 and 12,020.76 is: 18,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.60 : 32,826.40 = 12,020.76 : x
  2. Step 2: Convert to fraction form
    21,874.60/32,826.40 = 12,020.76/x
  3. Step 3: Cross multiply
    21,874.60x = 32,826.40 × 12,020.76
  4. Step 4: Simplify right side
    21,874.60x = 394,598,276.06
  5. Step 5: Solve for x
    x = 394,598,276.06/21,874.60
  6. Step 6: Final answer
    x = 18,039.11

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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.