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Finding the Fourth Proportional to 3,410.78, 4,706.49 and 1,918.66

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Solution

The fourth proportional to 3,410.78, 4,706.49 and 1,918.66 is: 2,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.78 : 4,706.49 = 1,918.66 : x
  2. Step 2: Convert to fraction form
    3,410.78/4,706.49 = 1,918.66/x
  3. Step 3: Cross multiply
    3,410.78x = 4,706.49 × 1,918.66
  4. Step 4: Simplify right side
    3,410.78x = 9,030,147.56
  5. Step 5: Solve for x
    x = 9,030,147.56/3,410.78
  6. Step 6: Final answer
    x = 2,647.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.