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Finding the Fourth Proportional to 2,175.08, 3,261.82 and 788.08

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Solution

The fourth proportional to 2,175.08, 3,261.82 and 788.08 is: 1,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.08 : 3,261.82 = 788.08 : x
  2. Step 2: Convert to fraction form
    2,175.08/3,261.82 = 788.08/x
  3. Step 3: Cross multiply
    2,175.08x = 3,261.82 × 788.08
  4. Step 4: Simplify right side
    2,175.08x = 2,570,572.57
  5. Step 5: Solve for x
    x = 2,570,572.57/2,175.08
  6. Step 6: Final answer
    x = 1,181.83

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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.