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Finding the Fourth Proportional to 36,404, 54,606 and 11,780

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Solution

The fourth proportional to 36,404, 54,606 and 11,780 is: 17,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,404 : 54,606 = 11,780 : x
  2. Step 2: Convert to fraction form
    36,404/54,606 = 11,780/x
  3. Step 3: Cross multiply
    36,404x = 54,606 × 11,780
  4. Step 4: Simplify right side
    36,404x = 643,258,680
  5. Step 5: Solve for x
    x = 643,258,680/36,404
  6. Step 6: Final answer
    x = 17,670

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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.