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Finding the Fourth Proportional to 1,855.93, 2,558.86 and 1,603.93

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Solution

The fourth proportional to 1,855.93, 2,558.86 and 1,603.93 is: 2,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.93 : 2,558.86 = 1,603.93 : x
  2. Step 2: Convert to fraction form
    1,855.93/2,558.86 = 1,603.93/x
  3. Step 3: Cross multiply
    1,855.93x = 2,558.86 × 1,603.93
  4. Step 4: Simplify right side
    1,855.93x = 4,104,232.32
  5. Step 5: Solve for x
    x = 4,104,232.32/1,855.93
  6. Step 6: Final answer
    x = 2,211.42

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Why These Related Problems?

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