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Finding the Fourth Proportional to 10,728.98, 16,096.78 and 4,810.85

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Solution

The fourth proportional to 10,728.98, 16,096.78 and 4,810.85 is: 7,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.98 : 16,096.78 = 4,810.85 : x
  2. Step 2: Convert to fraction form
    10,728.98/16,096.78 = 4,810.85/x
  3. Step 3: Cross multiply
    10,728.98x = 16,096.78 × 4,810.85
  4. Step 4: Simplify right side
    10,728.98x = 77,439,194.06
  5. Step 5: Solve for x
    x = 77,439,194.06/10,728.98
  6. Step 6: Final answer
    x = 7,217.76

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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.