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Finding the Fourth Proportional to 2,703.40, 4,055.90 and 854.44

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Solution

The fourth proportional to 2,703.40, 4,055.90 and 854.44 is: 1,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.40 : 4,055.90 = 854.44 : x
  2. Step 2: Convert to fraction form
    2,703.40/4,055.90 = 854.44/x
  3. Step 3: Cross multiply
    2,703.40x = 4,055.90 × 854.44
  4. Step 4: Simplify right side
    2,703.40x = 3,465,523.20
  5. Step 5: Solve for x
    x = 3,465,523.20/2,703.40
  6. Step 6: Final answer
    x = 1,281.91

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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.