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Finding the Fourth Proportional to 8,470.82, 12,705.62 and 2,627.28

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Solution

The fourth proportional to 8,470.82, 12,705.62 and 2,627.28 is: 3,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.82 : 12,705.62 = 2,627.28 : x
  2. Step 2: Convert to fraction form
    8,470.82/12,705.62 = 2,627.28/x
  3. Step 3: Cross multiply
    8,470.82x = 12,705.62 × 2,627.28
  4. Step 4: Simplify right side
    8,470.82x = 33,381,182.98
  5. Step 5: Solve for x
    x = 33,381,182.98/8,470.82
  6. Step 6: Final answer
    x = 3,940.73

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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.