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Finding the Fourth Proportional to 27,667.81, 41,489.47 and 7,941.79

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Solution

The fourth proportional to 27,667.81, 41,489.47 and 7,941.79 is: 11,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.81 : 41,489.47 = 7,941.79 : x
  2. Step 2: Convert to fraction form
    27,667.81/41,489.47 = 7,941.79/x
  3. Step 3: Cross multiply
    27,667.81x = 41,489.47 × 7,941.79
  4. Step 4: Simplify right side
    27,667.81x = 329,500,657.95
  5. Step 5: Solve for x
    x = 329,500,657.95/27,667.81
  6. Step 6: Final answer
    x = 11,909.17

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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.