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Finding the Fourth Proportional to 2,703.94, 4,055.55 and 855.24

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Solution

The fourth proportional to 2,703.94, 4,055.55 and 855.24 is: 1,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.94 : 4,055.55 = 855.24 : x
  2. Step 2: Convert to fraction form
    2,703.94/4,055.55 = 855.24/x
  3. Step 3: Cross multiply
    2,703.94x = 4,055.55 × 855.24
  4. Step 4: Simplify right side
    2,703.94x = 3,468,448.30
  5. Step 5: Solve for x
    x = 3,468,448.30/2,703.94
  6. Step 6: Final answer
    x = 1,282.74

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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.