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Finding the Fourth Proportional to 3,297.47, 4,550.31 and 1,971.16

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Solution

The fourth proportional to 3,297.47, 4,550.31 and 1,971.16 is: 2,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.47 : 4,550.31 = 1,971.16 : x
  2. Step 2: Convert to fraction form
    3,297.47/4,550.31 = 1,971.16/x
  3. Step 3: Cross multiply
    3,297.47x = 4,550.31 × 1,971.16
  4. Step 4: Simplify right side
    3,297.47x = 8,969,377.68
  5. Step 5: Solve for x
    x = 8,969,377.68/3,297.47
  6. Step 6: Final answer
    x = 2,720.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.