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Finding the Fourth Proportional to 27,489.81, 41,237.42 and 7,768.52

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Solution

The fourth proportional to 27,489.81, 41,237.42 and 7,768.52 is: 11,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489.81 : 41,237.42 = 7,768.52 : x
  2. Step 2: Convert to fraction form
    27,489.81/41,237.42 = 7,768.52/x
  3. Step 3: Cross multiply
    27,489.81x = 41,237.42 × 7,768.52
  4. Step 4: Simplify right side
    27,489.81x = 320,353,722.02
  5. Step 5: Solve for x
    x = 320,353,722.02/27,489.81
  6. Step 6: Final answer
    x = 11,653.54

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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.