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Finding the Fourth Proportional to 6,769.81, 10,147.43 and 6,459.43

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Solution

The fourth proportional to 6,769.81, 10,147.43 and 6,459.43 is: 9,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.81 : 10,147.43 = 6,459.43 : x
  2. Step 2: Convert to fraction form
    6,769.81/10,147.43 = 6,459.43/x
  3. Step 3: Cross multiply
    6,769.81x = 10,147.43 × 6,459.43
  4. Step 4: Simplify right side
    6,769.81x = 65,546,581.47
  5. Step 5: Solve for x
    x = 65,546,581.47/6,769.81
  6. Step 6: Final answer
    x = 9,682.19

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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.