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Finding the Fourth Proportional to 3,997.54, 5,994.87 and 1,689.22

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Solution

The fourth proportional to 3,997.54, 5,994.87 and 1,689.22 is: 2,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.54 : 5,994.87 = 1,689.22 : x
  2. Step 2: Convert to fraction form
    3,997.54/5,994.87 = 1,689.22/x
  3. Step 3: Cross multiply
    3,997.54x = 5,994.87 × 1,689.22
  4. Step 4: Simplify right side
    3,997.54x = 10,126,654.30
  5. Step 5: Solve for x
    x = 10,126,654.30/3,997.54
  6. Step 6: Final answer
    x = 2,533.22

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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.