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Finding the Fourth Proportional to 1,855.54, 2,784.63 and 1,369.90

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Solution

The fourth proportional to 1,855.54, 2,784.63 and 1,369.90 is: 2,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.54 : 2,784.63 = 1,369.90 : x
  2. Step 2: Convert to fraction form
    1,855.54/2,784.63 = 1,369.90/x
  3. Step 3: Cross multiply
    1,855.54x = 2,784.63 × 1,369.90
  4. Step 4: Simplify right side
    1,855.54x = 3,814,664.64
  5. Step 5: Solve for x
    x = 3,814,664.64/1,855.54
  6. Step 6: Final answer
    x = 2,055.82

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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.