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Finding the Fourth Proportional to 21,819.66, 32,745.78 and 8,494.74

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Solution

The fourth proportional to 21,819.66, 32,745.78 and 8,494.74 is: 12,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819.66 : 32,745.78 = 8,494.74 : x
  2. Step 2: Convert to fraction form
    21,819.66/32,745.78 = 8,494.74/x
  3. Step 3: Cross multiply
    21,819.66x = 32,745.78 × 8,494.74
  4. Step 4: Simplify right side
    21,819.66x = 278,166,887.20
  5. Step 5: Solve for x
    x = 278,166,887.20/21,819.66
  6. Step 6: Final answer
    x = 12,748.45

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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.