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Finding the Fourth Proportional to 2,842.86, 4,264.88 and 1,199.42

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Solution

The fourth proportional to 2,842.86, 4,264.88 and 1,199.42 is: 1,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.86 : 4,264.88 = 1,199.42 : x
  2. Step 2: Convert to fraction form
    2,842.86/4,264.88 = 1,199.42/x
  3. Step 3: Cross multiply
    2,842.86x = 4,264.88 × 1,199.42
  4. Step 4: Simplify right side
    2,842.86x = 5,115,355.05
  5. Step 5: Solve for x
    x = 5,115,355.05/2,842.86
  6. Step 6: Final answer
    x = 1,799.37

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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.