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Finding the Fourth Proportional to 16,838.72, 25,257.92 and 5,745.28

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Solution

The fourth proportional to 16,838.72, 25,257.92 and 5,745.28 is: 8,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.72 : 25,257.92 = 5,745.28 : x
  2. Step 2: Convert to fraction form
    16,838.72/25,257.92 = 5,745.28/x
  3. Step 3: Cross multiply
    16,838.72x = 25,257.92 × 5,745.28
  4. Step 4: Simplify right side
    16,838.72x = 145,113,822.62
  5. Step 5: Solve for x
    x = 145,113,822.62/16,838.72
  6. Step 6: Final answer
    x = 8,617.87

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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.