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Finding the Fourth Proportional to 3,998.29, 5,995.99 and 1,689.97

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Solution

The fourth proportional to 3,998.29, 5,995.99 and 1,689.97 is: 2,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.29 : 5,995.99 = 1,689.97 : x
  2. Step 2: Convert to fraction form
    3,998.29/5,995.99 = 1,689.97/x
  3. Step 3: Cross multiply
    3,998.29x = 5,995.99 × 1,689.97
  4. Step 4: Simplify right side
    3,998.29x = 10,133,043.22
  5. Step 5: Solve for x
    x = 10,133,043.22/3,998.29
  6. Step 6: Final answer
    x = 2,534.34

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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.