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Finding the Fourth Proportional to 7,859.28, 11,787.92 and 4,928.64

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Solution

The fourth proportional to 7,859.28, 11,787.92 and 4,928.64 is: 7,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.28 : 11,787.92 = 4,928.64 : x
  2. Step 2: Convert to fraction form
    7,859.28/11,787.92 = 4,928.64/x
  3. Step 3: Cross multiply
    7,859.28x = 11,787.92 × 4,928.64
  4. Step 4: Simplify right side
    7,859.28x = 58,098,414.03
  5. Step 5: Solve for x
    x = 58,098,414.03/7,859.28
  6. Step 6: Final answer
    x = 7,392.33

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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.