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Finding the Fourth Proportional to 6,202.98, 8,559.51 and 3,514.32

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Solution

The fourth proportional to 6,202.98, 8,559.51 and 3,514.32 is: 4,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.98 : 8,559.51 = 3,514.32 : x
  2. Step 2: Convert to fraction form
    6,202.98/8,559.51 = 3,514.32/x
  3. Step 3: Cross multiply
    6,202.98x = 8,559.51 × 3,514.32
  4. Step 4: Simplify right side
    6,202.98x = 30,080,857.18
  5. Step 5: Solve for x
    x = 30,080,857.18/6,202.98
  6. Step 6: Final answer
    x = 4,849.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.