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Finding the Fourth Proportional to 10,906.92, 16,335.47 and 6,515.37

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Solution

The fourth proportional to 10,906.92, 16,335.47 and 6,515.37 is: 9,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.92 : 16,335.47 = 6,515.37 : x
  2. Step 2: Convert to fraction form
    10,906.92/16,335.47 = 6,515.37/x
  3. Step 3: Cross multiply
    10,906.92x = 16,335.47 × 6,515.37
  4. Step 4: Simplify right side
    10,906.92x = 106,431,647.46
  5. Step 5: Solve for x
    x = 106,431,647.46/10,906.92
  6. Step 6: Final answer
    x = 9,758.18

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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.