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Finding the Fourth Proportional to 6,478.39, 9,714.48 and 2,967.31

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Solution

The fourth proportional to 6,478.39, 9,714.48 and 2,967.31 is: 4,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.39 : 9,714.48 = 2,967.31 : x
  2. Step 2: Convert to fraction form
    6,478.39/9,714.48 = 2,967.31/x
  3. Step 3: Cross multiply
    6,478.39x = 9,714.48 × 2,967.31
  4. Step 4: Simplify right side
    6,478.39x = 28,825,873.65
  5. Step 5: Solve for x
    x = 28,825,873.65/6,478.39
  6. Step 6: Final answer
    x = 4,449.54

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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.