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Finding the Fourth Proportional to 12,608, 18,913.92 and 4,285.44

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Solution

The fourth proportional to 12,608, 18,913.92 and 4,285.44 is: 6,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608 : 18,913.92 = 4,285.44 : x
  2. Step 2: Convert to fraction form
    12,608/18,913.92 = 4,285.44/x
  3. Step 3: Cross multiply
    12,608x = 18,913.92 × 4,285.44
  4. Step 4: Simplify right side
    12,608x = 81,054,469.32
  5. Step 5: Solve for x
    x = 81,054,469.32/12,608
  6. Step 6: Final answer
    x = 6,428.81

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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.