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Finding the Fourth Proportional to 10,872.70, 16,382.14 and 9,833.86

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Solution

The fourth proportional to 10,872.70, 16,382.14 and 9,833.86 is: 14,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.70 : 16,382.14 = 9,833.86 : x
  2. Step 2: Convert to fraction form
    10,872.70/16,382.14 = 9,833.86/x
  3. Step 3: Cross multiply
    10,872.70x = 16,382.14 × 9,833.86
  4. Step 4: Simplify right side
    10,872.70x = 161,099,671.26
  5. Step 5: Solve for x
    x = 161,099,671.26/10,872.70
  6. Step 6: Final answer
    x = 14,816.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.