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Finding the Fourth Proportional to 2,703.42, 4,054.84 and 854.54

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Solution

The fourth proportional to 2,703.42, 4,054.84 and 854.54 is: 1,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.42 : 4,054.84 = 854.54 : x
  2. Step 2: Convert to fraction form
    2,703.42/4,054.84 = 854.54/x
  3. Step 3: Cross multiply
    2,703.42x = 4,054.84 × 854.54
  4. Step 4: Simplify right side
    2,703.42x = 3,465,043.38
  5. Step 5: Solve for x
    x = 3,465,043.38/2,703.42
  6. Step 6: Final answer
    x = 1,281.73

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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.