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Finding the Fourth Proportional to 2,449.63, 3,380.43 and 1,401.63

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Solution

The fourth proportional to 2,449.63, 3,380.43 and 1,401.63 is: 1,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.63 : 3,380.43 = 1,401.63 : x
  2. Step 2: Convert to fraction form
    2,449.63/3,380.43 = 1,401.63/x
  3. Step 3: Cross multiply
    2,449.63x = 3,380.43 × 1,401.63
  4. Step 4: Simplify right side
    2,449.63x = 4,738,112.10
  5. Step 5: Solve for x
    x = 4,738,112.10/2,449.63
  6. Step 6: Final answer
    x = 1,934.22

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1.5x scale

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.