Home / 2,206.16-3,311-1,167.28

Finding the Fourth Proportional to 2,206.16, 3,311 and 1,167.28

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Solution

The fourth proportional to 2,206.16, 3,311 and 1,167.28 is: 1,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.16 : 3,311 = 1,167.28 : x
  2. Step 2: Convert to fraction form
    2,206.16/3,311 = 1,167.28/x
  3. Step 3: Cross multiply
    2,206.16x = 3,311 × 1,167.28
  4. Step 4: Simplify right side
    2,206.16x = 3,864,864.08
  5. Step 5: Solve for x
    x = 3,864,864.08/2,206.16
  6. Step 6: Final answer
    x = 1,751.85

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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.