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Finding the Fourth Proportional to 3,194, 4,407.72 and 1,952.72

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Solution

The fourth proportional to 3,194, 4,407.72 and 1,952.72 is: 2,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 4,407.72 = 1,952.72 : x
  2. Step 2: Convert to fraction form
    3,194/4,407.72 = 1,952.72/x
  3. Step 3: Cross multiply
    3,194x = 4,407.72 × 1,952.72
  4. Step 4: Simplify right side
    3,194x = 8,607,043.00
  5. Step 5: Solve for x
    x = 8,607,043.00/3,194
  6. Step 6: Final answer
    x = 2,694.75

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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.