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Finding the Fourth Proportional to 2,114.25, 3,172.82 and 746.25

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Solution

The fourth proportional to 2,114.25, 3,172.82 and 746.25 is: 1,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.25 : 3,172.82 = 746.25 : x
  2. Step 2: Convert to fraction form
    2,114.25/3,172.82 = 746.25/x
  3. Step 3: Cross multiply
    2,114.25x = 3,172.82 × 746.25
  4. Step 4: Simplify right side
    2,114.25x = 2,367,713.19
  5. Step 5: Solve for x
    x = 2,367,713.19/2,114.25
  6. Step 6: Final answer
    x = 1,119.88

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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.