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Finding the Fourth Proportional to 2,989.51, 4,481.22 and 1,427.22

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Solution

The fourth proportional to 2,989.51, 4,481.22 and 1,427.22 is: 2,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.51 : 4,481.22 = 1,427.22 : x
  2. Step 2: Convert to fraction form
    2,989.51/4,481.22 = 1,427.22/x
  3. Step 3: Cross multiply
    2,989.51x = 4,481.22 × 1,427.22
  4. Step 4: Simplify right side
    2,989.51x = 6,395,692.16
  5. Step 5: Solve for x
    x = 6,395,692.16/2,989.51
  6. Step 6: Final answer
    x = 2,139.38

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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.