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Finding the Fourth Proportional to 8,470.63, 12,706.67 and 2,921.73

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Solution

The fourth proportional to 8,470.63, 12,706.67 and 2,921.73 is: 4,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.63 : 12,706.67 = 2,921.73 : x
  2. Step 2: Convert to fraction form
    8,470.63/12,706.67 = 2,921.73/x
  3. Step 3: Cross multiply
    8,470.63x = 12,706.67 × 2,921.73
  4. Step 4: Simplify right side
    8,470.63x = 37,125,458.94
  5. Step 5: Solve for x
    x = 37,125,458.94/8,470.63
  6. Step 6: Final answer
    x = 4,382.85

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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.