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Finding the Fourth Proportional to 6,512.79, 9,768.78 and 2,812.43

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Solution

The fourth proportional to 6,512.79, 9,768.78 and 2,812.43 is: 4,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.79 : 9,768.78 = 2,812.43 : x
  2. Step 2: Convert to fraction form
    6,512.79/9,768.78 = 2,812.43/x
  3. Step 3: Cross multiply
    6,512.79x = 9,768.78 × 2,812.43
  4. Step 4: Simplify right side
    6,512.79x = 27,473,961.09
  5. Step 5: Solve for x
    x = 27,473,961.09/6,512.79
  6. Step 6: Final answer
    x = 4,218.46

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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.