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Finding the Fourth Proportional to 3,441.90, 4,749.96 and 1,950

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Solution

The fourth proportional to 3,441.90, 4,749.96 and 1,950 is: 2,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.90 : 4,749.96 = 1,950 : x
  2. Step 2: Convert to fraction form
    3,441.90/4,749.96 = 1,950/x
  3. Step 3: Cross multiply
    3,441.90x = 4,749.96 × 1,950
  4. Step 4: Simplify right side
    3,441.90x = 9,262,422
  5. Step 5: Solve for x
    x = 9,262,422/3,441.90
  6. Step 6: Final answer
    x = 2,691.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.