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Finding the Fourth Proportional to 11,805.96, 16,292.36 and 6,500.87

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Solution

The fourth proportional to 11,805.96, 16,292.36 and 6,500.87 is: 8,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.96 : 16,292.36 = 6,500.87 : x
  2. Step 2: Convert to fraction form
    11,805.96/16,292.36 = 6,500.87/x
  3. Step 3: Cross multiply
    11,805.96x = 16,292.36 × 6,500.87
  4. Step 4: Simplify right side
    11,805.96x = 105,914,449.14
  5. Step 5: Solve for x
    x = 105,914,449.14/11,805.96
  6. Step 6: Final answer
    x = 8,971.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.