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Finding the Fourth Proportional to 3,297.65, 4,948.97 and 1,218.92

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Solution

The fourth proportional to 3,297.65, 4,948.97 and 1,218.92 is: 1,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.65 : 4,948.97 = 1,218.92 : x
  2. Step 2: Convert to fraction form
    3,297.65/4,948.97 = 1,218.92/x
  3. Step 3: Cross multiply
    3,297.65x = 4,948.97 × 1,218.92
  4. Step 4: Simplify right side
    3,297.65x = 6,032,367.67
  5. Step 5: Solve for x
    x = 6,032,367.67/3,297.65
  6. Step 6: Final answer
    x = 1,829.30

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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.