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Finding the Fourth Proportional to 1,625.33, 2,447.76 and 1,367

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Solution

The fourth proportional to 1,625.33, 2,447.76 and 1,367 is: 2,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.33 : 2,447.76 = 1,367 : x
  2. Step 2: Convert to fraction form
    1,625.33/2,447.76 = 1,367/x
  3. Step 3: Cross multiply
    1,625.33x = 2,447.76 × 1,367
  4. Step 4: Simplify right side
    1,625.33x = 3,346,087.92
  5. Step 5: Solve for x
    x = 3,346,087.92/1,625.33
  6. Step 6: Final answer
    x = 2,058.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.