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Finding the Fourth Proportional to 27,889, 41,847.90 and 18,535.48

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Solution

The fourth proportional to 27,889, 41,847.90 and 18,535.48 is: 27,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889 : 41,847.90 = 18,535.48 : x
  2. Step 2: Convert to fraction form
    27,889/41,847.90 = 18,535.48/x
  3. Step 3: Cross multiply
    27,889x = 41,847.90 × 18,535.48
  4. Step 4: Simplify right side
    27,889x = 775,670,913.49
  5. Step 5: Solve for x
    x = 775,670,913.49/27,889
  6. Step 6: Final answer
    x = 27,812.79

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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.