Home / 2,205.75-3,305.70-1,165.53

Finding the Fourth Proportional to 2,205.75, 3,305.70 and 1,165.53

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Solution

The fourth proportional to 2,205.75, 3,305.70 and 1,165.53 is: 1,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.75 : 3,305.70 = 1,165.53 : x
  2. Step 2: Convert to fraction form
    2,205.75/3,305.70 = 1,165.53/x
  3. Step 3: Cross multiply
    2,205.75x = 3,305.70 × 1,165.53
  4. Step 4: Simplify right side
    2,205.75x = 3,852,892.52
  5. Step 5: Solve for x
    x = 3,852,892.52/2,205.75
  6. Step 6: Final answer
    x = 1,746.75

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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.