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Finding the Fourth Proportional to 4,954.92, 6,843.78 and 3,920.68

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Solution

The fourth proportional to 4,954.92, 6,843.78 and 3,920.68 is: 5,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.92 : 6,843.78 = 3,920.68 : x
  2. Step 2: Convert to fraction form
    4,954.92/6,843.78 = 3,920.68/x
  3. Step 3: Cross multiply
    4,954.92x = 6,843.78 × 3,920.68
  4. Step 4: Simplify right side
    4,954.92x = 26,832,271.37
  5. Step 5: Solve for x
    x = 26,832,271.37/4,954.92
  6. Step 6: Final answer
    x = 5,415.28

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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.