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Finding the Fourth Proportional to 16,505.87, 22,777.70 and 9,431.84

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Solution

The fourth proportional to 16,505.87, 22,777.70 and 9,431.84 is: 13,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.87 : 22,777.70 = 9,431.84 : x
  2. Step 2: Convert to fraction form
    16,505.87/22,777.70 = 9,431.84/x
  3. Step 3: Cross multiply
    16,505.87x = 22,777.70 × 9,431.84
  4. Step 4: Simplify right side
    16,505.87x = 214,835,631.75
  5. Step 5: Solve for x
    x = 214,835,631.75/16,505.87
  6. Step 6: Final answer
    x = 13,015.71

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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.