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Finding the Fourth Proportional to 5,189.72, 7,786.13 and 2,418.03

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Solution

The fourth proportional to 5,189.72, 7,786.13 and 2,418.03 is: 3,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.72 : 7,786.13 = 2,418.03 : x
  2. Step 2: Convert to fraction form
    5,189.72/7,786.13 = 2,418.03/x
  3. Step 3: Cross multiply
    5,189.72x = 7,786.13 × 2,418.03
  4. Step 4: Simplify right side
    5,189.72x = 18,827,083.83
  5. Step 5: Solve for x
    x = 18,827,083.83/5,189.72
  6. Step 6: Final answer
    x = 3,627.77

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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.