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Finding the Fourth Proportional to 12,605.44, 18,912 and 4,817.92

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Solution

The fourth proportional to 12,605.44, 18,912 and 4,817.92 is: 7,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.44 : 18,912 = 4,817.92 : x
  2. Step 2: Convert to fraction form
    12,605.44/18,912 = 4,817.92/x
  3. Step 3: Cross multiply
    12,605.44x = 18,912 × 4,817.92
  4. Step 4: Simplify right side
    12,605.44x = 91,116,503.04
  5. Step 5: Solve for x
    x = 91,116,503.04/12,605.44
  6. Step 6: Final answer
    x = 7,228.35

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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.