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Finding the Fourth Proportional to 4,758, 7,136.92 and 3,928.56

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Solution

The fourth proportional to 4,758, 7,136.92 and 3,928.56 is: 5,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758 : 7,136.92 = 3,928.56 : x
  2. Step 2: Convert to fraction form
    4,758/7,136.92 = 3,928.56/x
  3. Step 3: Cross multiply
    4,758x = 7,136.92 × 3,928.56
  4. Step 4: Simplify right side
    4,758x = 28,037,818.44
  5. Step 5: Solve for x
    x = 28,037,818.44/4,758
  6. Step 6: Final answer
    x = 5,892.77

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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.