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Finding the Fourth Proportional to 43,238, 64,857 and 10,406

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Solution

The fourth proportional to 43,238, 64,857 and 10,406 is: 15,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,238 : 64,857 = 10,406 : x
  2. Step 2: Convert to fraction form
    43,238/64,857 = 10,406/x
  3. Step 3: Cross multiply
    43,238x = 64,857 × 10,406
  4. Step 4: Simplify right side
    43,238x = 674,901,942
  5. Step 5: Solve for x
    x = 674,901,942/43,238
  6. Step 6: Final answer
    x = 15,609

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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.