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Finding the Fourth Proportional to 2,808.75, 4,213.74 and 1,077.38

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Solution

The fourth proportional to 2,808.75, 4,213.74 and 1,077.38 is: 1,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.75 : 4,213.74 = 1,077.38 : x
  2. Step 2: Convert to fraction form
    2,808.75/4,213.74 = 1,077.38/x
  3. Step 3: Cross multiply
    2,808.75x = 4,213.74 × 1,077.38
  4. Step 4: Simplify right side
    2,808.75x = 4,539,799.20
  5. Step 5: Solve for x
    x = 4,539,799.20/2,808.75
  6. Step 6: Final answer
    x = 1,616.31

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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.