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Finding the Fourth Proportional to 21,512.50, 32,269.97 and 7,661.50

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Solution

The fourth proportional to 21,512.50, 32,269.97 and 7,661.50 is: 11,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.50 : 32,269.97 = 7,661.50 : x
  2. Step 2: Convert to fraction form
    21,512.50/32,269.97 = 7,661.50/x
  3. Step 3: Cross multiply
    21,512.50x = 32,269.97 × 7,661.50
  4. Step 4: Simplify right side
    21,512.50x = 247,236,375.16
  5. Step 5: Solve for x
    x = 247,236,375.16/21,512.50
  6. Step 6: Final answer
    x = 11,492.68

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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.