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Finding the Fourth Proportional to 20,755.64, 28,642.56 and 11,324

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Solution

The fourth proportional to 20,755.64, 28,642.56 and 11,324 is: 15,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.64 : 28,642.56 = 11,324 : x
  2. Step 2: Convert to fraction form
    20,755.64/28,642.56 = 11,324/x
  3. Step 3: Cross multiply
    20,755.64x = 28,642.56 × 11,324
  4. Step 4: Simplify right side
    20,755.64x = 324,348,349.44
  5. Step 5: Solve for x
    x = 324,348,349.44/20,755.64
  6. Step 6: Final answer
    x = 15,627.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.