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Finding the Fourth Proportional to 2,855.44, 4,281 and 1,556.20

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Solution

The fourth proportional to 2,855.44, 4,281 and 1,556.20 is: 2,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.44 : 4,281 = 1,556.20 : x
  2. Step 2: Convert to fraction form
    2,855.44/4,281 = 1,556.20/x
  3. Step 3: Cross multiply
    2,855.44x = 4,281 × 1,556.20
  4. Step 4: Simplify right side
    2,855.44x = 6,662,092.20
  5. Step 5: Solve for x
    x = 6,662,092.20/2,855.44
  6. Step 6: Final answer
    x = 2,333.12

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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.