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Finding the Fourth Proportional to 1,855.59, 2,559.95 and 1,226.84

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Solution

The fourth proportional to 1,855.59, 2,559.95 and 1,226.84 is: 1,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.59 : 2,559.95 = 1,226.84 : x
  2. Step 2: Convert to fraction form
    1,855.59/2,559.95 = 1,226.84/x
  3. Step 3: Cross multiply
    1,855.59x = 2,559.95 × 1,226.84
  4. Step 4: Simplify right side
    1,855.59x = 3,140,630.12
  5. Step 5: Solve for x
    x = 3,140,630.12/1,855.59
  6. Step 6: Final answer
    x = 1,692.52

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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.