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Finding the Fourth Proportional to 11,383, 17,076.42 and 4,812.28

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Solution

The fourth proportional to 11,383, 17,076.42 and 4,812.28 is: 7,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383 : 17,076.42 = 4,812.28 : x
  2. Step 2: Convert to fraction form
    11,383/17,076.42 = 4,812.28/x
  3. Step 3: Cross multiply
    11,383x = 17,076.42 × 4,812.28
  4. Step 4: Simplify right side
    11,383x = 82,176,514.44
  5. Step 5: Solve for x
    x = 82,176,514.44/11,383
  6. Step 6: Final answer
    x = 7,219.23

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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.