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Finding the Fourth Proportional to 5,238.62, 7,229.10 and 2,880.74

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Solution

The fourth proportional to 5,238.62, 7,229.10 and 2,880.74 is: 3,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.62 : 7,229.10 = 2,880.74 : x
  2. Step 2: Convert to fraction form
    5,238.62/7,229.10 = 2,880.74/x
  3. Step 3: Cross multiply
    5,238.62x = 7,229.10 × 2,880.74
  4. Step 4: Simplify right side
    5,238.62x = 20,825,157.53
  5. Step 5: Solve for x
    x = 20,825,157.53/5,238.62
  6. Step 6: Final answer
    x = 3,975.31

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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.