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Finding the Fourth Proportional to 3,364.85, 4,643.73 and 1,949.01

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Solution

The fourth proportional to 3,364.85, 4,643.73 and 1,949.01 is: 2,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.85 : 4,643.73 = 1,949.01 : x
  2. Step 2: Convert to fraction form
    3,364.85/4,643.73 = 1,949.01/x
  3. Step 3: Cross multiply
    3,364.85x = 4,643.73 × 1,949.01
  4. Step 4: Simplify right side
    3,364.85x = 9,050,676.21
  5. Step 5: Solve for x
    x = 9,050,676.21/3,364.85
  6. Step 6: Final answer
    x = 2,689.78

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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.