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Finding the Fourth Proportional to 1,855.08, 2,780.19 and 1,365.84

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Solution

The fourth proportional to 1,855.08, 2,780.19 and 1,365.84 is: 2,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.08 : 2,780.19 = 1,365.84 : x
  2. Step 2: Convert to fraction form
    1,855.08/2,780.19 = 1,365.84/x
  3. Step 3: Cross multiply
    1,855.08x = 2,780.19 × 1,365.84
  4. Step 4: Simplify right side
    1,855.08x = 3,797,294.71
  5. Step 5: Solve for x
    x = 3,797,294.71/1,855.08
  6. Step 6: Final answer
    x = 2,046.97

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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.