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Finding the Fourth Proportional to 1,845.35, 2,549.02 and 1,367.78

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Solution

The fourth proportional to 1,845.35, 2,549.02 and 1,367.78 is: 1,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.35 : 2,549.02 = 1,367.78 : x
  2. Step 2: Convert to fraction form
    1,845.35/2,549.02 = 1,367.78/x
  3. Step 3: Cross multiply
    1,845.35x = 2,549.02 × 1,367.78
  4. Step 4: Simplify right side
    1,845.35x = 3,486,498.58
  5. Step 5: Solve for x
    x = 3,486,498.58/1,845.35
  6. Step 6: Final answer
    x = 1,889.34

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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.