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Finding the Fourth Proportional to 22,631.69, 31,235.49 and 13,200.26

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Solution

The fourth proportional to 22,631.69, 31,235.49 and 13,200.26 is: 18,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.69 : 31,235.49 = 13,200.26 : x
  2. Step 2: Convert to fraction form
    22,631.69/31,235.49 = 13,200.26/x
  3. Step 3: Cross multiply
    22,631.69x = 31,235.49 × 13,200.26
  4. Step 4: Simplify right side
    22,631.69x = 412,316,433.05
  5. Step 5: Solve for x
    x = 412,316,433.05/22,631.69
  6. Step 6: Final answer
    x = 18,218.54

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