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Finding the Fourth Proportional to 3,194.40, 4,407.14 and 1,867.64

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Solution

The fourth proportional to 3,194.40, 4,407.14 and 1,867.64 is: 2,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.40 : 4,407.14 = 1,867.64 : x
  2. Step 2: Convert to fraction form
    3,194.40/4,407.14 = 1,867.64/x
  3. Step 3: Cross multiply
    3,194.40x = 4,407.14 × 1,867.64
  4. Step 4: Simplify right side
    3,194.40x = 8,230,950.95
  5. Step 5: Solve for x
    x = 8,230,950.95/3,194.40
  6. Step 6: Final answer
    x = 2,576.68

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1.5x scale

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.