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Finding the Fourth Proportional to 21,392.91, 32,076 and 8,229.60

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Solution

The fourth proportional to 21,392.91, 32,076 and 8,229.60 is: 12,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.91 : 32,076 = 8,229.60 : x
  2. Step 2: Convert to fraction form
    21,392.91/32,076 = 8,229.60/x
  3. Step 3: Cross multiply
    21,392.91x = 32,076 × 8,229.60
  4. Step 4: Simplify right side
    21,392.91x = 263,972,649.60
  5. Step 5: Solve for x
    x = 263,972,649.60/21,392.91
  6. Step 6: Final answer
    x = 12,339.26

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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.