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Finding the Fourth Proportional to 22,991.96, 31,740.39 and 15,046.32

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Solution

The fourth proportional to 22,991.96, 31,740.39 and 15,046.32 is: 20,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.96 : 31,740.39 = 15,046.32 : x
  2. Step 2: Convert to fraction form
    22,991.96/31,740.39 = 15,046.32/x
  3. Step 3: Cross multiply
    22,991.96x = 31,740.39 × 15,046.32
  4. Step 4: Simplify right side
    22,991.96x = 477,576,183.89
  5. Step 5: Solve for x
    x = 477,576,183.89/22,991.96
  6. Step 6: Final answer
    x = 20,771.44

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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.