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Finding the Fourth Proportional to 6,863.94, 9,470.93 and 3,878.69

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Solution

The fourth proportional to 6,863.94, 9,470.93 and 3,878.69 is: 5,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.94 : 9,470.93 = 3,878.69 : x
  2. Step 2: Convert to fraction form
    6,863.94/9,470.93 = 3,878.69/x
  3. Step 3: Cross multiply
    6,863.94x = 9,470.93 × 3,878.69
  4. Step 4: Simplify right side
    6,863.94x = 36,734,734.73
  5. Step 5: Solve for x
    x = 36,734,734.73/6,863.94
  6. Step 6: Final answer
    x = 5,351.84

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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.