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Finding the Fourth Proportional to 12,797.49, 19,197 and 3,912.60

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Solution

The fourth proportional to 12,797.49, 19,197 and 3,912.60 is: 5,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.49 : 19,197 = 3,912.60 : x
  2. Step 2: Convert to fraction form
    12,797.49/19,197 = 3,912.60/x
  3. Step 3: Cross multiply
    12,797.49x = 19,197 × 3,912.60
  4. Step 4: Simplify right side
    12,797.49x = 75,110,254.19
  5. Step 5: Solve for x
    x = 75,110,254.19/12,797.49
  6. Step 6: Final answer
    x = 5,869.14

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1.5x scale

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.