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Finding the Fourth Proportional to 8,470.84, 12,707.46 and 2,627.96

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Solution

The fourth proportional to 8,470.84, 12,707.46 and 2,627.96 is: 3,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.84 : 12,707.46 = 2,627.96 : x
  2. Step 2: Convert to fraction form
    8,470.84/12,707.46 = 2,627.96/x
  3. Step 3: Cross multiply
    8,470.84x = 12,707.46 × 2,627.96
  4. Step 4: Simplify right side
    8,470.84x = 33,394,696.58
  5. Step 5: Solve for x
    x = 33,394,696.58/8,470.84
  6. Step 6: Final answer
    x = 3,942.31

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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.