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Finding the Fourth Proportional to 6,563.64, 9,053.31 and 3,909

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Solution

The fourth proportional to 6,563.64, 9,053.31 and 3,909 is: 5,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.64 : 9,053.31 = 3,909 : x
  2. Step 2: Convert to fraction form
    6,563.64/9,053.31 = 3,909/x
  3. Step 3: Cross multiply
    6,563.64x = 9,053.31 × 3,909
  4. Step 4: Simplify right side
    6,563.64x = 35,389,388.79
  5. Step 5: Solve for x
    x = 35,389,388.79/6,563.64
  6. Step 6: Final answer
    x = 5,391.73

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Why These Related Problems?

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