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Finding the Fourth Proportional to 8,634.78, 12,943.46 and 3,366.50

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Solution

The fourth proportional to 8,634.78, 12,943.46 and 3,366.50 is: 5,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.78 : 12,943.46 = 3,366.50 : x
  2. Step 2: Convert to fraction form
    8,634.78/12,943.46 = 3,366.50/x
  3. Step 3: Cross multiply
    8,634.78x = 12,943.46 × 3,366.50
  4. Step 4: Simplify right side
    8,634.78x = 43,574,076.54
  5. Step 5: Solve for x
    x = 43,574,076.54/8,634.78
  6. Step 6: Final answer
    x = 5,046.34

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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.