Home / 2,165-2,986.80-1,418.04

Finding the Fourth Proportional to 2,165, 2,986.80 and 1,418.04

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Solution

The fourth proportional to 2,165, 2,986.80 and 1,418.04 is: 1,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165 : 2,986.80 = 1,418.04 : x
  2. Step 2: Convert to fraction form
    2,165/2,986.80 = 1,418.04/x
  3. Step 3: Cross multiply
    2,165x = 2,986.80 × 1,418.04
  4. Step 4: Simplify right side
    2,165x = 4,235,401.87
  5. Step 5: Solve for x
    x = 4,235,401.87/2,165
  6. Step 6: Final answer
    x = 1,956.31

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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.