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Finding the Fourth Proportional to 6,481.12, 9,721.08 and 2,782.68

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Solution

The fourth proportional to 6,481.12, 9,721.08 and 2,782.68 is: 4,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.12 : 9,721.08 = 2,782.68 : x
  2. Step 2: Convert to fraction form
    6,481.12/9,721.08 = 2,782.68/x
  3. Step 3: Cross multiply
    6,481.12x = 9,721.08 × 2,782.68
  4. Step 4: Simplify right side
    6,481.12x = 27,050,654.89
  5. Step 5: Solve for x
    x = 27,050,654.89/6,481.12
  6. Step 6: Final answer
    x = 4,173.76

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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.