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Finding the Fourth Proportional to 3,718.86, 5,578.26 and 945.54

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Solution

The fourth proportional to 3,718.86, 5,578.26 and 945.54 is: 1,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.86 : 5,578.26 = 945.54 : x
  2. Step 2: Convert to fraction form
    3,718.86/5,578.26 = 945.54/x
  3. Step 3: Cross multiply
    3,718.86x = 5,578.26 × 945.54
  4. Step 4: Simplify right side
    3,718.86x = 5,274,467.96
  5. Step 5: Solve for x
    x = 5,274,467.96/3,718.86
  6. Step 6: Final answer
    x = 1,418.30

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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.