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Finding the Fourth Proportional to 3,617.53, 5,424.20 and 1,766.78

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Solution

The fourth proportional to 3,617.53, 5,424.20 and 1,766.78 is: 2,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.53 : 5,424.20 = 1,766.78 : x
  2. Step 2: Convert to fraction form
    3,617.53/5,424.20 = 1,766.78/x
  3. Step 3: Cross multiply
    3,617.53x = 5,424.20 × 1,766.78
  4. Step 4: Simplify right side
    3,617.53x = 9,583,359.09
  5. Step 5: Solve for x
    x = 9,583,359.09/3,617.53
  6. Step 6: Final answer
    x = 2,649.15

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1.5x scale

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.