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Finding the Fourth Proportional to 3,669.80, 5,504.40 and 1,448.54

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Solution

The fourth proportional to 3,669.80, 5,504.40 and 1,448.54 is: 2,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.80 : 5,504.40 = 1,448.54 : x
  2. Step 2: Convert to fraction form
    3,669.80/5,504.40 = 1,448.54/x
  3. Step 3: Cross multiply
    3,669.80x = 5,504.40 × 1,448.54
  4. Step 4: Simplify right side
    3,669.80x = 7,973,343.58
  5. Step 5: Solve for x
    x = 7,973,343.58/3,669.80
  6. Step 6: Final answer
    x = 2,172.69

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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.