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Finding the Fourth Proportional to 2,630, 3,945 and 1,091.12

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Solution

The fourth proportional to 2,630, 3,945 and 1,091.12 is: 1,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630 : 3,945 = 1,091.12 : x
  2. Step 2: Convert to fraction form
    2,630/3,945 = 1,091.12/x
  3. Step 3: Cross multiply
    2,630x = 3,945 × 1,091.12
  4. Step 4: Simplify right side
    2,630x = 4,304,468.40
  5. Step 5: Solve for x
    x = 4,304,468.40/2,630
  6. Step 6: Final answer
    x = 1,636.68

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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.