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Finding the Fourth Proportional to 8,905.92, 13,361.31 and 2,666.22

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Solution

The fourth proportional to 8,905.92, 13,361.31 and 2,666.22 is: 4,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.92 : 13,361.31 = 2,666.22 : x
  2. Step 2: Convert to fraction form
    8,905.92/13,361.31 = 2,666.22/x
  3. Step 3: Cross multiply
    8,905.92x = 13,361.31 × 2,666.22
  4. Step 4: Simplify right side
    8,905.92x = 35,624,191.95
  5. Step 5: Solve for x
    x = 35,624,191.95/8,905.92
  6. Step 6: Final answer
    x = 4,000.06

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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.