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Finding the Fourth Proportional to 10,642, 15,963 and 3,346

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Solution

The fourth proportional to 10,642, 15,963 and 3,346 is: 5,019

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642 : 15,963 = 3,346 : x
  2. Step 2: Convert to fraction form
    10,642/15,963 = 3,346/x
  3. Step 3: Cross multiply
    10,642x = 15,963 × 3,346
  4. Step 4: Simplify right side
    10,642x = 53,412,198
  5. Step 5: Solve for x
    x = 53,412,198/10,642
  6. Step 6: Final answer
    x = 5,019

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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.