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Finding the Fourth Proportional to 1,950, 2,692.14 and 1,485.12

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Solution

The fourth proportional to 1,950, 2,692.14 and 1,485.12 is: 2,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950 : 2,692.14 = 1,485.12 : x
  2. Step 2: Convert to fraction form
    1,950/2,692.14 = 1,485.12/x
  3. Step 3: Cross multiply
    1,950x = 2,692.14 × 1,485.12
  4. Step 4: Simplify right side
    1,950x = 3,998,150.96
  5. Step 5: Solve for x
    x = 3,998,150.96/1,950
  6. Step 6: Final answer
    x = 2,050.33

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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.