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Finding the Fourth Proportional to 12,802, 19,203 and 3,074

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Solution

The fourth proportional to 12,802, 19,203 and 3,074 is: 4,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 19,203 = 3,074 : x
  2. Step 2: Convert to fraction form
    12,802/19,203 = 3,074/x
  3. Step 3: Cross multiply
    12,802x = 19,203 × 3,074
  4. Step 4: Simplify right side
    12,802x = 59,030,022
  5. Step 5: Solve for x
    x = 59,030,022/12,802
  6. Step 6: Final answer
    x = 4,611

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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.