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Finding the Fourth Proportional to 2,692.43, 4,037.42 and 961.10

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Solution

The fourth proportional to 2,692.43, 4,037.42 and 961.10 is: 1,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.43 : 4,037.42 = 961.10 : x
  2. Step 2: Convert to fraction form
    2,692.43/4,037.42 = 961.10/x
  3. Step 3: Cross multiply
    2,692.43x = 4,037.42 × 961.10
  4. Step 4: Simplify right side
    2,692.43x = 3,880,339.37
  5. Step 5: Solve for x
    x = 3,880,339.37/2,692.43
  6. Step 6: Final answer
    x = 1,441.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.