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Finding the Fourth Proportional to 36,387, 54,597.78 and 11,763

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Solution

The fourth proportional to 36,387, 54,597.78 and 11,763 is: 17,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,387 : 54,597.78 = 11,763 : x
  2. Step 2: Convert to fraction form
    36,387/54,597.78 = 11,763/x
  3. Step 3: Cross multiply
    36,387x = 54,597.78 × 11,763
  4. Step 4: Simplify right side
    36,387x = 642,233,686.14
  5. Step 5: Solve for x
    x = 642,233,686.14/36,387
  6. Step 6: Final answer
    x = 17,650.09

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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.