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Finding the Fourth Proportional to 27,864, 41,778.72 and 13,076.64

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Solution

The fourth proportional to 27,864, 41,778.72 and 13,076.64 is: 19,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 41,778.72 = 13,076.64 : x
  2. Step 2: Convert to fraction form
    27,864/41,778.72 = 13,076.64/x
  3. Step 3: Cross multiply
    27,864x = 41,778.72 × 13,076.64
  4. Step 4: Simplify right side
    27,864x = 546,325,281.10
  5. Step 5: Solve for x
    x = 546,325,281.10/27,864
  6. Step 6: Final answer
    x = 19,606.85

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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.