Home / 3,744.57-5,616.82-971.23

Finding the Fourth Proportional to 3,744.57, 5,616.82 and 971.23

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Solution

The fourth proportional to 3,744.57, 5,616.82 and 971.23 is: 1,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.57 : 5,616.82 = 971.23 : x
  2. Step 2: Convert to fraction form
    3,744.57/5,616.82 = 971.23/x
  3. Step 3: Cross multiply
    3,744.57x = 5,616.82 × 971.23
  4. Step 4: Simplify right side
    3,744.57x = 5,455,224.09
  5. Step 5: Solve for x
    x = 5,455,224.09/3,744.57
  6. Step 6: Final answer
    x = 1,456.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.