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Finding the Fourth Proportional to 12,786, 19,179.24 and 3,552.24

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Solution

The fourth proportional to 12,786, 19,179.24 and 3,552.24 is: 5,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 19,179.24 = 3,552.24 : x
  2. Step 2: Convert to fraction form
    12,786/19,179.24 = 3,552.24/x
  3. Step 3: Cross multiply
    12,786x = 19,179.24 × 3,552.24
  4. Step 4: Simplify right side
    12,786x = 68,129,263.50
  5. Step 5: Solve for x
    x = 68,129,263.50/12,786
  6. Step 6: Final answer
    x = 5,328.43

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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.