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Finding the Fourth Proportional to 7,769.83, 10,713.09 and 6,348.28

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Solution

The fourth proportional to 7,769.83, 10,713.09 and 6,348.28 is: 8,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.83 : 10,713.09 = 6,348.28 : x
  2. Step 2: Convert to fraction form
    7,769.83/10,713.09 = 6,348.28/x
  3. Step 3: Cross multiply
    7,769.83x = 10,713.09 × 6,348.28
  4. Step 4: Simplify right side
    7,769.83x = 68,009,694.99
  5. Step 5: Solve for x
    x = 68,009,694.99/7,769.83
  6. Step 6: Final answer
    x = 8,753.05

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1.5x scale

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.