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Finding the Fourth Proportional to 3,143.43, 4,744.69 and 3,143.43

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Solution

The fourth proportional to 3,143.43, 4,744.69 and 3,143.43 is: 4,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.43 : 4,744.69 = 3,143.43 : x
  2. Step 2: Convert to fraction form
    3,143.43/4,744.69 = 3,143.43/x
  3. Step 3: Cross multiply
    3,143.43x = 4,744.69 × 3,143.43
  4. Step 4: Simplify right side
    3,143.43x = 14,914,593.03
  5. Step 5: Solve for x
    x = 14,914,593.03/3,143.43
  6. Step 6: Final answer
    x = 4,744.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.