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Finding the Fourth Proportional to 1,855.62, 2,561.22 and 1,069.56

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Solution

The fourth proportional to 1,855.62, 2,561.22 and 1,069.56 is: 1,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.62 : 2,561.22 = 1,069.56 : x
  2. Step 2: Convert to fraction form
    1,855.62/2,561.22 = 1,069.56/x
  3. Step 3: Cross multiply
    1,855.62x = 2,561.22 × 1,069.56
  4. Step 4: Simplify right side
    1,855.62x = 2,739,378.46
  5. Step 5: Solve for x
    x = 2,739,378.46/1,855.62
  6. Step 6: Final answer
    x = 1,476.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.