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Finding the Fourth Proportional to 3,706.07, 5,556.49 and 1,855.86

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Solution

The fourth proportional to 3,706.07, 5,556.49 and 1,855.86 is: 2,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.07 : 5,556.49 = 1,855.86 : x
  2. Step 2: Convert to fraction form
    3,706.07/5,556.49 = 1,855.86/x
  3. Step 3: Cross multiply
    3,706.07x = 5,556.49 × 1,855.86
  4. Step 4: Simplify right side
    3,706.07x = 10,312,067.53
  5. Step 5: Solve for x
    x = 10,312,067.53/3,706.07
  6. Step 6: Final answer
    x = 2,782.48

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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.