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Finding the Fourth Proportional to 3,297.80, 4,943.42 and 1,649.32

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Solution

The fourth proportional to 3,297.80, 4,943.42 and 1,649.32 is: 2,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.80 : 4,943.42 = 1,649.32 : x
  2. Step 2: Convert to fraction form
    3,297.80/4,943.42 = 1,649.32/x
  3. Step 3: Cross multiply
    3,297.80x = 4,943.42 × 1,649.32
  4. Step 4: Simplify right side
    3,297.80x = 8,153,248.51
  5. Step 5: Solve for x
    x = 8,153,248.51/3,297.80
  6. Step 6: Final answer
    x = 2,472.33

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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.