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Finding the Fourth Proportional to 4,375.78, 6,556.37 and 1,906.90

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Solution

The fourth proportional to 4,375.78, 6,556.37 and 1,906.90 is: 2,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.78 : 6,556.37 = 1,906.90 : x
  2. Step 2: Convert to fraction form
    4,375.78/6,556.37 = 1,906.90/x
  3. Step 3: Cross multiply
    4,375.78x = 6,556.37 × 1,906.90
  4. Step 4: Simplify right side
    4,375.78x = 12,502,341.95
  5. Step 5: Solve for x
    x = 12,502,341.95/4,375.78
  6. Step 6: Final answer
    x = 2,857.17

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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.