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Finding the Fourth Proportional to 2,889.75, 4,333.90 and 809.22

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Solution

The fourth proportional to 2,889.75, 4,333.90 and 809.22 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.75 : 4,333.90 = 809.22 : x
  2. Step 2: Convert to fraction form
    2,889.75/4,333.90 = 809.22/x
  3. Step 3: Cross multiply
    2,889.75x = 4,333.90 × 809.22
  4. Step 4: Simplify right side
    2,889.75x = 3,507,056.89
  5. Step 5: Solve for x
    x = 3,507,056.89/2,889.75
  6. Step 6: Final answer
    x = 1,213.62

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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.