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Finding the Fourth Proportional to 22,813.54, 31,494.09 and 15,400.42

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Solution

The fourth proportional to 22,813.54, 31,494.09 and 15,400.42 is: 21,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.54 : 31,494.09 = 15,400.42 : x
  2. Step 2: Convert to fraction form
    22,813.54/31,494.09 = 15,400.42/x
  3. Step 3: Cross multiply
    22,813.54x = 31,494.09 × 15,400.42
  4. Step 4: Simplify right side
    22,813.54x = 485,022,213.52
  5. Step 5: Solve for x
    x = 485,022,213.52/22,813.54
  6. Step 6: Final answer
    x = 21,260.28

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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.