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Finding the Fourth Proportional to 1,998.71, 2,998.16 and 1,448.27

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Solution

The fourth proportional to 1,998.71, 2,998.16 and 1,448.27 is: 2,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.71 : 2,998.16 = 1,448.27 : x
  2. Step 2: Convert to fraction form
    1,998.71/2,998.16 = 1,448.27/x
  3. Step 3: Cross multiply
    1,998.71x = 2,998.16 × 1,448.27
  4. Step 4: Simplify right side
    1,998.71x = 4,342,137.94
  5. Step 5: Solve for x
    x = 4,342,137.94/1,998.71
  6. Step 6: Final answer
    x = 2,172.47

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1.5x scale

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.