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Finding the Fourth Proportional to 16,381.78, 24,572.67 and 7,015.75

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Solution

The fourth proportional to 16,381.78, 24,572.67 and 7,015.75 is: 10,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.78 : 24,572.67 = 7,015.75 : x
  2. Step 2: Convert to fraction form
    16,381.78/24,572.67 = 7,015.75/x
  3. Step 3: Cross multiply
    16,381.78x = 24,572.67 × 7,015.75
  4. Step 4: Simplify right side
    16,381.78x = 172,395,709.55
  5. Step 5: Solve for x
    x = 172,395,709.55/16,381.78
  6. Step 6: Final answer
    x = 10,523.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.