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Finding the Fourth Proportional to 11,843.76, 17,765.78 and 3,078.16

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Solution

The fourth proportional to 11,843.76, 17,765.78 and 3,078.16 is: 4,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.76 : 17,765.78 = 3,078.16 : x
  2. Step 2: Convert to fraction form
    11,843.76/17,765.78 = 3,078.16/x
  3. Step 3: Cross multiply
    11,843.76x = 17,765.78 × 3,078.16
  4. Step 4: Simplify right side
    11,843.76x = 54,685,913.36
  5. Step 5: Solve for x
    x = 54,685,913.36/11,843.76
  6. Step 6: Final answer
    x = 4,617.28

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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.