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Finding the Fourth Proportional to 27,668.40, 41,502.60 and 7,945.80

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Solution

The fourth proportional to 27,668.40, 41,502.60 and 7,945.80 is: 11,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.40 : 41,502.60 = 7,945.80 : x
  2. Step 2: Convert to fraction form
    27,668.40/41,502.60 = 7,945.80/x
  3. Step 3: Cross multiply
    27,668.40x = 41,502.60 × 7,945.80
  4. Step 4: Simplify right side
    27,668.40x = 329,771,359.08
  5. Step 5: Solve for x
    x = 329,771,359.08/27,668.40
  6. Step 6: Final answer
    x = 11,918.70

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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.