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Finding the Fourth Proportional to 6,481.28, 9,720.48 and 1,864.64

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Solution

The fourth proportional to 6,481.28, 9,720.48 and 1,864.64 is: 2,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.28 : 9,720.48 = 1,864.64 : x
  2. Step 2: Convert to fraction form
    6,481.28/9,720.48 = 1,864.64/x
  3. Step 3: Cross multiply
    6,481.28x = 9,720.48 × 1,864.64
  4. Step 4: Simplify right side
    6,481.28x = 18,125,195.83
  5. Step 5: Solve for x
    x = 18,125,195.83/6,481.28
  6. Step 6: Final answer
    x = 2,796.55

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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.