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Finding the Fourth Proportional to 1,769.14, 2,441.44 and 983.26

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Solution

The fourth proportional to 1,769.14, 2,441.44 and 983.26 is: 1,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.14 : 2,441.44 = 983.26 : x
  2. Step 2: Convert to fraction form
    1,769.14/2,441.44 = 983.26/x
  3. Step 3: Cross multiply
    1,769.14x = 2,441.44 × 983.26
  4. Step 4: Simplify right side
    1,769.14x = 2,400,570.29
  5. Step 5: Solve for x
    x = 2,400,570.29/1,769.14
  6. Step 6: Final answer
    x = 1,356.91

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Why These Related Problems?

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