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Finding the Fourth Proportional to 16,991.88, 23,443.38 and 9,538.44

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Solution

The fourth proportional to 16,991.88, 23,443.38 and 9,538.44 is: 13,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991.88 : 23,443.38 = 9,538.44 : x
  2. Step 2: Convert to fraction form
    16,991.88/23,443.38 = 9,538.44/x
  3. Step 3: Cross multiply
    16,991.88x = 23,443.38 × 9,538.44
  4. Step 4: Simplify right side
    16,991.88x = 223,613,273.53
  5. Step 5: Solve for x
    x = 223,613,273.53/16,991.88
  6. Step 6: Final answer
    x = 13,160.01

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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.