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Finding the Fourth Proportional to 3,997.53, 5,968.13 and 3,646.80

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Solution

The fourth proportional to 3,997.53, 5,968.13 and 3,646.80 is: 5,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.53 : 5,968.13 = 3,646.80 : x
  2. Step 2: Convert to fraction form
    3,997.53/5,968.13 = 3,646.80/x
  3. Step 3: Cross multiply
    3,997.53x = 5,968.13 × 3,646.80
  4. Step 4: Simplify right side
    3,997.53x = 21,764,558.25
  5. Step 5: Solve for x
    x = 21,764,558.25/3,997.53
  6. Step 6: Final answer
    x = 5,444.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.