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Finding the Fourth Proportional to 3,997.65, 5,989.80 and 2,825.48

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Solution

The fourth proportional to 3,997.65, 5,989.80 and 2,825.48 is: 4,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.65 : 5,989.80 = 2,825.48 : x
  2. Step 2: Convert to fraction form
    3,997.65/5,989.80 = 2,825.48/x
  3. Step 3: Cross multiply
    3,997.65x = 5,989.80 × 2,825.48
  4. Step 4: Simplify right side
    3,997.65x = 16,924,069.78
  5. Step 5: Solve for x
    x = 16,924,069.78/3,997.65
  6. Step 6: Final answer
    x = 4,233.50

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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.