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Finding the Fourth Proportional to 17,642, 26,463 and 7,914

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Solution

The fourth proportional to 17,642, 26,463 and 7,914 is: 11,871

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642 : 26,463 = 7,914 : x
  2. Step 2: Convert to fraction form
    17,642/26,463 = 7,914/x
  3. Step 3: Cross multiply
    17,642x = 26,463 × 7,914
  4. Step 4: Simplify right side
    17,642x = 209,428,182
  5. Step 5: Solve for x
    x = 209,428,182/17,642
  6. Step 6: Final answer
    x = 11,871

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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.