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Finding the Fourth Proportional to 5,238, 7,228.26 and 2,880

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Solution

The fourth proportional to 5,238, 7,228.26 and 2,880 is: 3,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,228.26 = 2,880 : x
  2. Step 2: Convert to fraction form
    5,238/7,228.26 = 2,880/x
  3. Step 3: Cross multiply
    5,238x = 7,228.26 × 2,880
  4. Step 4: Simplify right side
    5,238x = 20,817,388.80
  5. Step 5: Solve for x
    x = 20,817,388.80/5,238
  6. Step 6: Final answer
    x = 3,974.30

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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.