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Finding the Fourth Proportional to 1,692.25, 2,539.14 and 1,075.80

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Solution

The fourth proportional to 1,692.25, 2,539.14 and 1,075.80 is: 1,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.25 : 2,539.14 = 1,075.80 : x
  2. Step 2: Convert to fraction form
    1,692.25/2,539.14 = 1,075.80/x
  3. Step 3: Cross multiply
    1,692.25x = 2,539.14 × 1,075.80
  4. Step 4: Simplify right side
    1,692.25x = 2,731,588.74
  5. Step 5: Solve for x
    x = 2,731,588.74/1,692.25
  6. Step 6: Final answer
    x = 1,614.18

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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.