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Finding the Fourth Proportional to 6,512.54, 9,769.84 and 2,815.90

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Solution

The fourth proportional to 6,512.54, 9,769.84 and 2,815.90 is: 4,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.54 : 9,769.84 = 2,815.90 : x
  2. Step 2: Convert to fraction form
    6,512.54/9,769.84 = 2,815.90/x
  3. Step 3: Cross multiply
    6,512.54x = 9,769.84 × 2,815.90
  4. Step 4: Simplify right side
    6,512.54x = 27,510,892.46
  5. Step 5: Solve for x
    x = 27,510,892.46/6,512.54
  6. Step 6: Final answer
    x = 4,224.30

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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.