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Finding the Fourth Proportional to 6,481.28, 9,712.71 and 2,962.64

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Solution

The fourth proportional to 6,481.28, 9,712.71 and 2,962.64 is: 4,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.28 : 9,712.71 = 2,962.64 : x
  2. Step 2: Convert to fraction form
    6,481.28/9,712.71 = 2,962.64/x
  3. Step 3: Cross multiply
    6,481.28x = 9,712.71 × 2,962.64
  4. Step 4: Simplify right side
    6,481.28x = 28,775,263.15
  5. Step 5: Solve for x
    x = 28,775,263.15/6,481.28
  6. Step 6: Final answer
    x = 4,439.75

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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.