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Finding the Fourth Proportional to 27,308.65, 40,978.89 and 11,512.71

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Solution

The fourth proportional to 27,308.65, 40,978.89 and 11,512.71 is: 17,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,308.65 : 40,978.89 = 11,512.71 : x
  2. Step 2: Convert to fraction form
    27,308.65/40,978.89 = 11,512.71/x
  3. Step 3: Cross multiply
    27,308.65x = 40,978.89 × 11,512.71
  4. Step 4: Simplify right side
    27,308.65x = 471,778,076.69
  5. Step 5: Solve for x
    x = 471,778,076.69/27,308.65
  6. Step 6: Final answer
    x = 17,275.78

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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.