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Finding the Fourth Proportional to 2,297.80, 3,169.52 and 1,913.54

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Solution

The fourth proportional to 2,297.80, 3,169.52 and 1,913.54 is: 2,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.80 : 3,169.52 = 1,913.54 : x
  2. Step 2: Convert to fraction form
    2,297.80/3,169.52 = 1,913.54/x
  3. Step 3: Cross multiply
    2,297.80x = 3,169.52 × 1,913.54
  4. Step 4: Simplify right side
    2,297.80x = 6,065,003.30
  5. Step 5: Solve for x
    x = 6,065,003.30/2,297.80
  6. Step 6: Final answer
    x = 2,639.48

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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.