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Finding the Fourth Proportional to 3,543.26, 4,889.61 and 1,949.94

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Solution

The fourth proportional to 3,543.26, 4,889.61 and 1,949.94 is: 2,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.26 : 4,889.61 = 1,949.94 : x
  2. Step 2: Convert to fraction form
    3,543.26/4,889.61 = 1,949.94/x
  3. Step 3: Cross multiply
    3,543.26x = 4,889.61 × 1,949.94
  4. Step 4: Simplify right side
    3,543.26x = 9,534,446.12
  5. Step 5: Solve for x
    x = 9,534,446.12/3,543.26
  6. Step 6: Final answer
    x = 2,690.87

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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.