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Finding the Fourth Proportional to 2,144, 3,214.43 and 1,448.94

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Solution

The fourth proportional to 2,144, 3,214.43 and 1,448.94 is: 2,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 3,214.43 = 1,448.94 : x
  2. Step 2: Convert to fraction form
    2,144/3,214.43 = 1,448.94/x
  3. Step 3: Cross multiply
    2,144x = 3,214.43 × 1,448.94
  4. Step 4: Simplify right side
    2,144x = 4,657,516.20
  5. Step 5: Solve for x
    x = 4,657,516.20/2,144
  6. Step 6: Final answer
    x = 2,172.35

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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.