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Finding the Fourth Proportional to 6,471.52, 9,707.34 and 5,181.19

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Solution

The fourth proportional to 6,471.52, 9,707.34 and 5,181.19 is: 7,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.52 : 9,707.34 = 5,181.19 : x
  2. Step 2: Convert to fraction form
    6,471.52/9,707.34 = 5,181.19/x
  3. Step 3: Cross multiply
    6,471.52x = 9,707.34 × 5,181.19
  4. Step 4: Simplify right side
    6,471.52x = 50,295,572.93
  5. Step 5: Solve for x
    x = 50,295,572.93/6,471.52
  6. Step 6: Final answer
    x = 7,771.83

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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.