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Finding the Fourth Proportional to 1,794.61, 2,692.73 and 916.57

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Solution

The fourth proportional to 1,794.61, 2,692.73 and 916.57 is: 1,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.61 : 2,692.73 = 916.57 : x
  2. Step 2: Convert to fraction form
    1,794.61/2,692.73 = 916.57/x
  3. Step 3: Cross multiply
    1,794.61x = 2,692.73 × 916.57
  4. Step 4: Simplify right side
    1,794.61x = 2,468,075.54
  5. Step 5: Solve for x
    x = 2,468,075.54/1,794.61
  6. Step 6: Final answer
    x = 1,375.27

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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.