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Finding the Fourth Proportional to 3,643.52, 5,463.88 and 1,997.80

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Solution

The fourth proportional to 3,643.52, 5,463.88 and 1,997.80 is: 2,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.52 : 5,463.88 = 1,997.80 : x
  2. Step 2: Convert to fraction form
    3,643.52/5,463.88 = 1,997.80/x
  3. Step 3: Cross multiply
    3,643.52x = 5,463.88 × 1,997.80
  4. Step 4: Simplify right side
    3,643.52x = 10,915,720.81
  5. Step 5: Solve for x
    x = 10,915,720.81/3,643.52
  6. Step 6: Final answer
    x = 2,995.93

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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.