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Finding the Fourth Proportional to 3,636.40, 5,451.36 and 1,444

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Solution

The fourth proportional to 3,636.40, 5,451.36 and 1,444 is: 2,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.40 : 5,451.36 = 1,444 : x
  2. Step 2: Convert to fraction form
    3,636.40/5,451.36 = 1,444/x
  3. Step 3: Cross multiply
    3,636.40x = 5,451.36 × 1,444
  4. Step 4: Simplify right side
    3,636.40x = 7,871,763.84
  5. Step 5: Solve for x
    x = 7,871,763.84/3,636.40
  6. Step 6: Final answer
    x = 2,164.71

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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.