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Finding the Fourth Proportional to 2,666.91, 3,998.09 and 1,022.31

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Solution

The fourth proportional to 2,666.91, 3,998.09 and 1,022.31 is: 1,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.91 : 3,998.09 = 1,022.31 : x
  2. Step 2: Convert to fraction form
    2,666.91/3,998.09 = 1,022.31/x
  3. Step 3: Cross multiply
    2,666.91x = 3,998.09 × 1,022.31
  4. Step 4: Simplify right side
    2,666.91x = 4,087,282.28
  5. Step 5: Solve for x
    x = 4,087,282.28/2,666.91
  6. Step 6: Final answer
    x = 1,532.59

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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.