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Finding the Fourth Proportional to 6,769.56, 10,147.05 and 6,459.18

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Solution

The fourth proportional to 6,769.56, 10,147.05 and 6,459.18 is: 9,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.56 : 10,147.05 = 6,459.18 : x
  2. Step 2: Convert to fraction form
    6,769.56/10,147.05 = 6,459.18/x
  3. Step 3: Cross multiply
    6,769.56x = 10,147.05 × 6,459.18
  4. Step 4: Simplify right side
    6,769.56x = 65,541,622.42
  5. Step 5: Solve for x
    x = 65,541,622.42/6,769.56
  6. Step 6: Final answer
    x = 9,681.81

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1.5x scale

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.