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Finding the Fourth Proportional to 2,418.78, 3,628.26 and 687.54

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Solution

The fourth proportional to 2,418.78, 3,628.26 and 687.54 is: 1,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.78 : 3,628.26 = 687.54 : x
  2. Step 2: Convert to fraction form
    2,418.78/3,628.26 = 687.54/x
  3. Step 3: Cross multiply
    2,418.78x = 3,628.26 × 687.54
  4. Step 4: Simplify right side
    2,418.78x = 2,494,573.88
  5. Step 5: Solve for x
    x = 2,494,573.88/2,418.78
  6. Step 6: Final answer
    x = 1,031.34

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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.