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Finding the Fourth Proportional to 21,857.76, 32,819.36 and 12,508.32

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Solution

The fourth proportional to 21,857.76, 32,819.36 and 12,508.32 is: 18,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.76 : 32,819.36 = 12,508.32 : x
  2. Step 2: Convert to fraction form
    21,857.76/32,819.36 = 12,508.32/x
  3. Step 3: Cross multiply
    21,857.76x = 32,819.36 × 12,508.32
  4. Step 4: Simplify right side
    21,857.76x = 410,515,057.08
  5. Step 5: Solve for x
    x = 410,515,057.08/21,857.76
  6. Step 6: Final answer
    x = 18,781.20

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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.