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Finding the Fourth Proportional to 8,469.46, 12,705.02 and 2,922.07

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Solution

The fourth proportional to 8,469.46, 12,705.02 and 2,922.07 is: 4,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.46 : 12,705.02 = 2,922.07 : x
  2. Step 2: Convert to fraction form
    8,469.46/12,705.02 = 2,922.07/x
  3. Step 3: Cross multiply
    8,469.46x = 12,705.02 × 2,922.07
  4. Step 4: Simplify right side
    8,469.46x = 37,124,957.79
  5. Step 5: Solve for x
    x = 37,124,957.79/8,469.46
  6. Step 6: Final answer
    x = 4,383.39

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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.