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Finding the Fourth Proportional to 27,399.47, 41,101.02 and 7,678.80

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Solution

The fourth proportional to 27,399.47, 41,101.02 and 7,678.80 is: 11,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,399.47 : 41,101.02 = 7,678.80 : x
  2. Step 2: Convert to fraction form
    27,399.47/41,101.02 = 7,678.80/x
  3. Step 3: Cross multiply
    27,399.47x = 41,101.02 × 7,678.80
  4. Step 4: Simplify right side
    27,399.47x = 315,606,512.38
  5. Step 5: Solve for x
    x = 315,606,512.38/27,399.47
  6. Step 6: Final answer
    x = 11,518.71

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1.5x scale

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.