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Finding the Fourth Proportional to 7,238, 10,857 and 2,621

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Solution

The fourth proportional to 7,238, 10,857 and 2,621 is: 3,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238 : 10,857 = 2,621 : x
  2. Step 2: Convert to fraction form
    7,238/10,857 = 2,621/x
  3. Step 3: Cross multiply
    7,238x = 10,857 × 2,621
  4. Step 4: Simplify right side
    7,238x = 28,456,197
  5. Step 5: Solve for x
    x = 28,456,197/7,238
  6. Step 6: Final answer
    x = 3,931.50

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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.