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Finding the Fourth Proportional to 2,232.82, 3,082.62 and 1,448.34

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Solution

The fourth proportional to 2,232.82, 3,082.62 and 1,448.34 is: 1,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.82 : 3,082.62 = 1,448.34 : x
  2. Step 2: Convert to fraction form
    2,232.82/3,082.62 = 1,448.34/x
  3. Step 3: Cross multiply
    2,232.82x = 3,082.62 × 1,448.34
  4. Step 4: Simplify right side
    2,232.82x = 4,464,681.85
  5. Step 5: Solve for x
    x = 4,464,681.85/2,232.82
  6. Step 6: Final answer
    x = 1,999.57

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