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Finding the Fourth Proportional to 6,470.94, 8,928.79 and 3,819.21

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Solution

The fourth proportional to 6,470.94, 8,928.79 and 3,819.21 is: 5,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.94 : 8,928.79 = 3,819.21 : x
  2. Step 2: Convert to fraction form
    6,470.94/8,928.79 = 3,819.21/x
  3. Step 3: Cross multiply
    6,470.94x = 8,928.79 × 3,819.21
  4. Step 4: Simplify right side
    6,470.94x = 34,100,924.06
  5. Step 5: Solve for x
    x = 34,100,924.06/6,470.94
  6. Step 6: Final answer
    x = 5,269.86

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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.