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Finding the Fourth Proportional to 10,817.14, 16,237.86 and 8,381.33

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Solution

The fourth proportional to 10,817.14, 16,237.86 and 8,381.33 is: 12,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.14 : 16,237.86 = 8,381.33 : x
  2. Step 2: Convert to fraction form
    10,817.14/16,237.86 = 8,381.33/x
  3. Step 3: Cross multiply
    10,817.14x = 16,237.86 × 8,381.33
  4. Step 4: Simplify right side
    10,817.14x = 136,094,863.15
  5. Step 5: Solve for x
    x = 136,094,863.15/10,817.14
  6. Step 6: Final answer
    x = 12,581.41

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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.