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Finding the Fourth Proportional to 3,489.98, 4,823.82 and 3,067.16

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Solution

The fourth proportional to 3,489.98, 4,823.82 and 3,067.16 is: 4,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.98 : 4,823.82 = 3,067.16 : x
  2. Step 2: Convert to fraction form
    3,489.98/4,823.82 = 3,067.16/x
  3. Step 3: Cross multiply
    3,489.98x = 4,823.82 × 3,067.16
  4. Step 4: Simplify right side
    3,489.98x = 14,795,403.63
  5. Step 5: Solve for x
    x = 14,795,403.63/3,489.98
  6. Step 6: Final answer
    x = 4,239.40

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1.5x scale

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.