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Finding the Fourth Proportional to 2,266.44, 3,396.60 and 1,168.50

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Solution

The fourth proportional to 2,266.44, 3,396.60 and 1,168.50 is: 1,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.44 : 3,396.60 = 1,168.50 : x
  2. Step 2: Convert to fraction form
    2,266.44/3,396.60 = 1,168.50/x
  3. Step 3: Cross multiply
    2,266.44x = 3,396.60 × 1,168.50
  4. Step 4: Simplify right side
    2,266.44x = 3,968,927.10
  5. Step 5: Solve for x
    x = 3,968,927.10/2,266.44
  6. Step 6: Final answer
    x = 1,751.17

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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.