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Finding the Fourth Proportional to 6,481.72, 9,720.14 and 5,111.20

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Solution

The fourth proportional to 6,481.72, 9,720.14 and 5,111.20 is: 7,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.72 : 9,720.14 = 5,111.20 : x
  2. Step 2: Convert to fraction form
    6,481.72/9,720.14 = 5,111.20/x
  3. Step 3: Cross multiply
    6,481.72x = 9,720.14 × 5,111.20
  4. Step 4: Simplify right side
    6,481.72x = 49,681,530.97
  5. Step 5: Solve for x
    x = 49,681,530.97/6,481.72
  6. Step 6: Final answer
    x = 7,664.87

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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.