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Finding the Fourth Proportional to 36,343, 54,514.50 and 11,719

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Solution

The fourth proportional to 36,343, 54,514.50 and 11,719 is: 17,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,343 : 54,514.50 = 11,719 : x
  2. Step 2: Convert to fraction form
    36,343/54,514.50 = 11,719/x
  3. Step 3: Cross multiply
    36,343x = 54,514.50 × 11,719
  4. Step 4: Simplify right side
    36,343x = 638,855,425.50
  5. Step 5: Solve for x
    x = 638,855,425.50/36,343
  6. Step 6: Final answer
    x = 17,578.50

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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.