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Finding the Fourth Proportional to 1,855.89, 2,783.88 and 1,367.46

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Solution

The fourth proportional to 1,855.89, 2,783.88 and 1,367.46 is: 2,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.89 : 2,783.88 = 1,367.46 : x
  2. Step 2: Convert to fraction form
    1,855.89/2,783.88 = 1,367.46/x
  3. Step 3: Cross multiply
    1,855.89x = 2,783.88 × 1,367.46
  4. Step 4: Simplify right side
    1,855.89x = 3,806,844.54
  5. Step 5: Solve for x
    x = 3,806,844.54/1,855.89
  6. Step 6: Final answer
    x = 2,051.22

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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.