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Finding the Fourth Proportional to 17,412, 26,118 and 7,684

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Solution

The fourth proportional to 17,412, 26,118 and 7,684 is: 11,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412 : 26,118 = 7,684 : x
  2. Step 2: Convert to fraction form
    17,412/26,118 = 7,684/x
  3. Step 3: Cross multiply
    17,412x = 26,118 × 7,684
  4. Step 4: Simplify right side
    17,412x = 200,690,712
  5. Step 5: Solve for x
    x = 200,690,712/17,412
  6. Step 6: Final answer
    x = 11,526

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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.