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Finding the Fourth Proportional to 1,998.58, 2,991.88 and 1,442.03

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Solution

The fourth proportional to 1,998.58, 2,991.88 and 1,442.03 is: 2,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.58 : 2,991.88 = 1,442.03 : x
  2. Step 2: Convert to fraction form
    1,998.58/2,991.88 = 1,442.03/x
  3. Step 3: Cross multiply
    1,998.58x = 2,991.88 × 1,442.03
  4. Step 4: Simplify right side
    1,998.58x = 4,314,386.12
  5. Step 5: Solve for x
    x = 4,314,386.12/1,998.58
  6. Step 6: Final answer
    x = 2,158.73

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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.