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Finding the Fourth Proportional to 1,801.58, 2,703.08 and 1,185.17

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Solution

The fourth proportional to 1,801.58, 2,703.08 and 1,185.17 is: 1,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.58 : 2,703.08 = 1,185.17 : x
  2. Step 2: Convert to fraction form
    1,801.58/2,703.08 = 1,185.17/x
  3. Step 3: Cross multiply
    1,801.58x = 2,703.08 × 1,185.17
  4. Step 4: Simplify right side
    1,801.58x = 3,203,619.04
  5. Step 5: Solve for x
    x = 3,203,619.04/1,801.58
  6. Step 6: Final answer
    x = 1,778.23

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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.