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Finding the Fourth Proportional to 21,755.76, 32,629.71 and 9,906.78

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Solution

The fourth proportional to 21,755.76, 32,629.71 and 9,906.78 is: 14,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.76 : 32,629.71 = 9,906.78 : x
  2. Step 2: Convert to fraction form
    21,755.76/32,629.71 = 9,906.78/x
  3. Step 3: Cross multiply
    21,755.76x = 32,629.71 × 9,906.78
  4. Step 4: Simplify right side
    21,755.76x = 323,255,358.43
  5. Step 5: Solve for x
    x = 323,255,358.43/21,755.76
  6. Step 6: Final answer
    x = 14,858.38

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1.5x scale

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.