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Finding the Fourth Proportional to 6,489.36, 9,734.04 and 2,107.26

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Solution

The fourth proportional to 6,489.36, 9,734.04 and 2,107.26 is: 3,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.36 : 9,734.04 = 2,107.26 : x
  2. Step 2: Convert to fraction form
    6,489.36/9,734.04 = 2,107.26/x
  3. Step 3: Cross multiply
    6,489.36x = 9,734.04 × 2,107.26
  4. Step 4: Simplify right side
    6,489.36x = 20,512,153.13
  5. Step 5: Solve for x
    x = 20,512,153.13/6,489.36
  6. Step 6: Final answer
    x = 3,160.89

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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.