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Finding the Fourth Proportional to 1,074.13, 1,483.82 and 941.09

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Solution

The fourth proportional to 1,074.13, 1,483.82 and 941.09 is: 1,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.13 : 1,483.82 = 941.09 : x
  2. Step 2: Convert to fraction form
    1,074.13/1,483.82 = 941.09/x
  3. Step 3: Cross multiply
    1,074.13x = 1,483.82 × 941.09
  4. Step 4: Simplify right side
    1,074.13x = 1,396,399.57
  5. Step 5: Solve for x
    x = 1,396,399.57/1,074.13
  6. Step 6: Final answer
    x = 1,300.03

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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.