Home / 2,209.24-3,311.43-1,477

Finding the Fourth Proportional to 2,209.24, 3,311.43 and 1,477

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Solution

The fourth proportional to 2,209.24, 3,311.43 and 1,477 is: 2,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.24 : 3,311.43 = 1,477 : x
  2. Step 2: Convert to fraction form
    2,209.24/3,311.43 = 1,477/x
  3. Step 3: Cross multiply
    2,209.24x = 3,311.43 × 1,477
  4. Step 4: Simplify right side
    2,209.24x = 4,890,982.11
  5. Step 5: Solve for x
    x = 4,890,982.11/2,209.24
  6. Step 6: Final answer
    x = 2,213.88

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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.