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Finding the Fourth Proportional to 4,194, 6,291 and 1,272.24

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Solution

The fourth proportional to 4,194, 6,291 and 1,272.24 is: 1,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 6,291 = 1,272.24 : x
  2. Step 2: Convert to fraction form
    4,194/6,291 = 1,272.24/x
  3. Step 3: Cross multiply
    4,194x = 6,291 × 1,272.24
  4. Step 4: Simplify right side
    4,194x = 8,003,661.84
  5. Step 5: Solve for x
    x = 8,003,661.84/4,194
  6. Step 6: Final answer
    x = 1,908.36

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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.