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Finding the Fourth Proportional to 1,620.98, 2,236.82 and 957.71

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Solution

The fourth proportional to 1,620.98, 2,236.82 and 957.71 is: 1,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.98 : 2,236.82 = 957.71 : x
  2. Step 2: Convert to fraction form
    1,620.98/2,236.82 = 957.71/x
  3. Step 3: Cross multiply
    1,620.98x = 2,236.82 × 957.71
  4. Step 4: Simplify right side
    1,620.98x = 2,142,221.18
  5. Step 5: Solve for x
    x = 2,142,221.18/1,620.98
  6. Step 6: Final answer
    x = 1,321.56

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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.