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Finding the Fourth Proportional to 3,194, 4,407.37 and 1,867.54

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Solution

The fourth proportional to 3,194, 4,407.37 and 1,867.54 is: 2,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 4,407.37 = 1,867.54 : x
  2. Step 2: Convert to fraction form
    3,194/4,407.37 = 1,867.54/x
  3. Step 3: Cross multiply
    3,194x = 4,407.37 × 1,867.54
  4. Step 4: Simplify right side
    3,194x = 8,230,939.77
  5. Step 5: Solve for x
    x = 8,230,939.77/3,194
  6. Step 6: Final answer
    x = 2,577.00

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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.