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Finding the Fourth Proportional to 21,468.20, 32,214.48 and 8,321.48

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Solution

The fourth proportional to 21,468.20, 32,214.48 and 8,321.48 is: 12,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468.20 : 32,214.48 = 8,321.48 : x
  2. Step 2: Convert to fraction form
    21,468.20/32,214.48 = 8,321.48/x
  3. Step 3: Cross multiply
    21,468.20x = 32,214.48 × 8,321.48
  4. Step 4: Simplify right side
    21,468.20x = 268,072,151.03
  5. Step 5: Solve for x
    x = 268,072,151.03/21,468.20
  6. Step 6: Final answer
    x = 12,486.94

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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.