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Finding the Fourth Proportional to 6,512.58, 9,768.56 and 2,129.46

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Solution

The fourth proportional to 6,512.58, 9,768.56 and 2,129.46 is: 3,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.58 : 9,768.56 = 2,129.46 : x
  2. Step 2: Convert to fraction form
    6,512.58/9,768.56 = 2,129.46/x
  3. Step 3: Cross multiply
    6,512.58x = 9,768.56 × 2,129.46
  4. Step 4: Simplify right side
    6,512.58x = 20,801,747.13
  5. Step 5: Solve for x
    x = 20,801,747.13/6,512.58
  6. Step 6: Final answer
    x = 3,194.09

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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.