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Finding the Fourth Proportional to 12,618.44, 17,420.43 and 7,583.88

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Solution

The fourth proportional to 12,618.44, 17,420.43 and 7,583.88 is: 10,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.44 : 17,420.43 = 7,583.88 : x
  2. Step 2: Convert to fraction form
    12,618.44/17,420.43 = 7,583.88/x
  3. Step 3: Cross multiply
    12,618.44x = 17,420.43 × 7,583.88
  4. Step 4: Simplify right side
    12,618.44x = 132,114,450.67
  5. Step 5: Solve for x
    x = 132,114,450.67/12,618.44
  6. Step 6: Final answer
    x = 10,469.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.