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Finding the Fourth Proportional to 4,147.68, 5,724.60 and 2,728.88

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Solution

The fourth proportional to 4,147.68, 5,724.60 and 2,728.88 is: 3,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.68 : 5,724.60 = 2,728.88 : x
  2. Step 2: Convert to fraction form
    4,147.68/5,724.60 = 2,728.88/x
  3. Step 3: Cross multiply
    4,147.68x = 5,724.60 × 2,728.88
  4. Step 4: Simplify right side
    4,147.68x = 15,621,746.45
  5. Step 5: Solve for x
    x = 15,621,746.45/4,147.68
  6. Step 6: Final answer
    x = 3,766.38

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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.