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Finding the Fourth Proportional to 8,906.31, 13,361.31 and 2,666.07

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Solution

The fourth proportional to 8,906.31, 13,361.31 and 2,666.07 is: 3,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.31 : 13,361.31 = 2,666.07 : x
  2. Step 2: Convert to fraction form
    8,906.31/13,361.31 = 2,666.07/x
  3. Step 3: Cross multiply
    8,906.31x = 13,361.31 × 2,666.07
  4. Step 4: Simplify right side
    8,906.31x = 35,622,187.75
  5. Step 5: Solve for x
    x = 35,622,187.75/8,906.31
  6. Step 6: Final answer
    x = 3,999.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.