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Finding the Fourth Proportional to 5,146.43, 7,708.71 and 2,949.71

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Solution

The fourth proportional to 5,146.43, 7,708.71 and 2,949.71 is: 4,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.43 : 7,708.71 = 2,949.71 : x
  2. Step 2: Convert to fraction form
    5,146.43/7,708.71 = 2,949.71/x
  3. Step 3: Cross multiply
    5,146.43x = 7,708.71 × 2,949.71
  4. Step 4: Simplify right side
    5,146.43x = 22,738,458.97
  5. Step 5: Solve for x
    x = 22,738,458.97/5,146.43
  6. Step 6: Final answer
    x = 4,418.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.