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Finding the Fourth Proportional to 1,991.10, 2,986.78 and 692.12

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Solution

The fourth proportional to 1,991.10, 2,986.78 and 692.12 is: 1,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.10 : 2,986.78 = 692.12 : x
  2. Step 2: Convert to fraction form
    1,991.10/2,986.78 = 692.12/x
  3. Step 3: Cross multiply
    1,991.10x = 2,986.78 × 692.12
  4. Step 4: Simplify right side
    1,991.10x = 2,067,210.17
  5. Step 5: Solve for x
    x = 2,067,210.17/1,991.10
  6. Step 6: Final answer
    x = 1,038.23

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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.