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Finding the Fourth Proportional to 2,169.43, 2,994.09 and 1,424.02

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Solution

The fourth proportional to 2,169.43, 2,994.09 and 1,424.02 is: 1,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.43 : 2,994.09 = 1,424.02 : x
  2. Step 2: Convert to fraction form
    2,169.43/2,994.09 = 1,424.02/x
  3. Step 3: Cross multiply
    2,169.43x = 2,994.09 × 1,424.02
  4. Step 4: Simplify right side
    2,169.43x = 4,263,644.04
  5. Step 5: Solve for x
    x = 4,263,644.04/2,169.43
  6. Step 6: Final answer
    x = 1,965.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.