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Finding the Fourth Proportional to 11,296, 16,954.80 and 4,720.44

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Solution

The fourth proportional to 11,296, 16,954.80 and 4,720.44 is: 7,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296 : 16,954.80 = 4,720.44 : x
  2. Step 2: Convert to fraction form
    11,296/16,954.80 = 4,720.44/x
  3. Step 3: Cross multiply
    11,296x = 16,954.80 × 4,720.44
  4. Step 4: Simplify right side
    11,296x = 80,034,116.11
  5. Step 5: Solve for x
    x = 80,034,116.11/11,296
  6. Step 6: Final answer
    x = 7,085.17

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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.