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Finding the Fourth Proportional to 6,471.85, 9,707.77 and 5,167.21

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Solution

The fourth proportional to 6,471.85, 9,707.77 and 5,167.21 is: 7,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.85 : 9,707.77 = 5,167.21 : x
  2. Step 2: Convert to fraction form
    6,471.85/9,707.77 = 5,167.21/x
  3. Step 3: Cross multiply
    6,471.85x = 9,707.77 × 5,167.21
  4. Step 4: Simplify right side
    6,471.85x = 50,162,086.22
  5. Step 5: Solve for x
    x = 50,162,086.22/6,471.85
  6. Step 6: Final answer
    x = 7,750.81

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Similar ratio
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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.