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Finding the Fourth Proportional to 27,308.40, 40,951.80 and 9,769.20

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Solution

The fourth proportional to 27,308.40, 40,951.80 and 9,769.20 is: 14,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,308.40 : 40,951.80 = 9,769.20 : x
  2. Step 2: Convert to fraction form
    27,308.40/40,951.80 = 9,769.20/x
  3. Step 3: Cross multiply
    27,308.40x = 40,951.80 × 9,769.20
  4. Step 4: Simplify right side
    27,308.40x = 400,066,324.56
  5. Step 5: Solve for x
    x = 400,066,324.56/27,308.40
  6. Step 6: Final answer
    x = 14,649.94

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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.