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Finding the Fourth Proportional to 2,853.05, 4,279.14 and 905

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Solution

The fourth proportional to 2,853.05, 4,279.14 and 905 is: 1,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.05 : 4,279.14 = 905 : x
  2. Step 2: Convert to fraction form
    2,853.05/4,279.14 = 905/x
  3. Step 3: Cross multiply
    2,853.05x = 4,279.14 × 905
  4. Step 4: Simplify right side
    2,853.05x = 3,872,621.70
  5. Step 5: Solve for x
    x = 3,872,621.70/2,853.05
  6. Step 6: Final answer
    x = 1,357.36

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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.