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Finding the Fourth Proportional to 5,157.28, 7,738.08 and 3,707.92

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Solution

The fourth proportional to 5,157.28, 7,738.08 and 3,707.92 is: 5,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.28 : 7,738.08 = 3,707.92 : x
  2. Step 2: Convert to fraction form
    5,157.28/7,738.08 = 3,707.92/x
  3. Step 3: Cross multiply
    5,157.28x = 7,738.08 × 3,707.92
  4. Step 4: Simplify right side
    5,157.28x = 28,692,181.59
  5. Step 5: Solve for x
    x = 28,692,181.59/5,157.28
  6. Step 6: Final answer
    x = 5,563.43

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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.