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Finding the Fourth Proportional to 12,812, 19,219.26 and 3,578

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Solution

The fourth proportional to 12,812, 19,219.26 and 3,578 is: 5,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812 : 19,219.26 = 3,578 : x
  2. Step 2: Convert to fraction form
    12,812/19,219.26 = 3,578/x
  3. Step 3: Cross multiply
    12,812x = 19,219.26 × 3,578
  4. Step 4: Simplify right side
    12,812x = 68,766,512.28
  5. Step 5: Solve for x
    x = 68,766,512.28/12,812
  6. Step 6: Final answer
    x = 5,367.35

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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.