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Finding the Fourth Proportional to 3,297.81, 4,551 and 1,805.73

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Solution

The fourth proportional to 3,297.81, 4,551 and 1,805.73 is: 2,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.81 : 4,551 = 1,805.73 : x
  2. Step 2: Convert to fraction form
    3,297.81/4,551 = 1,805.73/x
  3. Step 3: Cross multiply
    3,297.81x = 4,551 × 1,805.73
  4. Step 4: Simplify right side
    3,297.81x = 8,217,877.23
  5. Step 5: Solve for x
    x = 8,217,877.23/3,297.81
  6. Step 6: Final answer
    x = 2,491.92

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1.5x scale

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.