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Finding the Fourth Proportional to 12,608, 18,915.84 and 4,400

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Solution

The fourth proportional to 12,608, 18,915.84 and 4,400 is: 6,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608 : 18,915.84 = 4,400 : x
  2. Step 2: Convert to fraction form
    12,608/18,915.84 = 4,400/x
  3. Step 3: Cross multiply
    12,608x = 18,915.84 × 4,400
  4. Step 4: Simplify right side
    12,608x = 83,229,696
  5. Step 5: Solve for x
    x = 83,229,696/12,608
  6. Step 6: Final answer
    x = 6,601.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.