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Finding the Fourth Proportional to 6,481.68, 9,720.12 and 5,097.72

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Solution

The fourth proportional to 6,481.68, 9,720.12 and 5,097.72 is: 7,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.68 : 9,720.12 = 5,097.72 : x
  2. Step 2: Convert to fraction form
    6,481.68/9,720.12 = 5,097.72/x
  3. Step 3: Cross multiply
    6,481.68x = 9,720.12 × 5,097.72
  4. Step 4: Simplify right side
    6,481.68x = 49,550,450.13
  5. Step 5: Solve for x
    x = 49,550,450.13/6,481.68
  6. Step 6: Final answer
    x = 7,644.69

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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.