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Finding the Fourth Proportional to 1,992.12, 2,745.98 and 1,518.50

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Solution

The fourth proportional to 1,992.12, 2,745.98 and 1,518.50 is: 2,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.12 : 2,745.98 = 1,518.50 : x
  2. Step 2: Convert to fraction form
    1,992.12/2,745.98 = 1,518.50/x
  3. Step 3: Cross multiply
    1,992.12x = 2,745.98 × 1,518.50
  4. Step 4: Simplify right side
    1,992.12x = 4,169,770.63
  5. Step 5: Solve for x
    x = 4,169,770.63/1,992.12
  6. Step 6: Final answer
    x = 2,093.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.