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Finding the Fourth Proportional to 1,821.43, 2,732.94 and 955.54

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Solution

The fourth proportional to 1,821.43, 2,732.94 and 955.54 is: 1,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.43 : 2,732.94 = 955.54 : x
  2. Step 2: Convert to fraction form
    1,821.43/2,732.94 = 955.54/x
  3. Step 3: Cross multiply
    1,821.43x = 2,732.94 × 955.54
  4. Step 4: Simplify right side
    1,821.43x = 2,611,419.82
  5. Step 5: Solve for x
    x = 2,611,419.82/1,821.43
  6. Step 6: Final answer
    x = 1,433.72

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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.