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Finding the Fourth Proportional to 1,235.74, 1,855.73 and 1,097.23

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Solution

The fourth proportional to 1,235.74, 1,855.73 and 1,097.23 is: 1,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.74 : 1,855.73 = 1,097.23 : x
  2. Step 2: Convert to fraction form
    1,235.74/1,855.73 = 1,097.23/x
  3. Step 3: Cross multiply
    1,235.74x = 1,855.73 × 1,097.23
  4. Step 4: Simplify right side
    1,235.74x = 2,036,162.63
  5. Step 5: Solve for x
    x = 2,036,162.63/1,235.74
  6. Step 6: Final answer
    x = 1,647.73

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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.