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Finding the Fourth Proportional to 12,974.25, 19,410.78 and 9,863.25

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Solution

The fourth proportional to 12,974.25, 19,410.78 and 9,863.25 is: 14,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.25 : 19,410.78 = 9,863.25 : x
  2. Step 2: Convert to fraction form
    12,974.25/19,410.78 = 9,863.25/x
  3. Step 3: Cross multiply
    12,974.25x = 19,410.78 × 9,863.25
  4. Step 4: Simplify right side
    12,974.25x = 191,453,375.84
  5. Step 5: Solve for x
    x = 191,453,375.84/12,974.25
  6. Step 6: Final answer
    x = 14,756.41

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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.