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Finding the Fourth Proportional to 18,117.73, 27,175.38 and 4,969

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Solution

The fourth proportional to 18,117.73, 27,175.38 and 4,969 is: 7,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117.73 : 27,175.38 = 4,969 : x
  2. Step 2: Convert to fraction form
    18,117.73/27,175.38 = 4,969/x
  3. Step 3: Cross multiply
    18,117.73x = 27,175.38 × 4,969
  4. Step 4: Simplify right side
    18,117.73x = 135,034,463.22
  5. Step 5: Solve for x
    x = 135,034,463.22/18,117.73
  6. Step 6: Final answer
    x = 7,453.17

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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.