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Finding the Fourth Proportional to 4,928.82, 7,394.25 and 1,808.80

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Solution

The fourth proportional to 4,928.82, 7,394.25 and 1,808.80 is: 2,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.82 : 7,394.25 = 1,808.80 : x
  2. Step 2: Convert to fraction form
    4,928.82/7,394.25 = 1,808.80/x
  3. Step 3: Cross multiply
    4,928.82x = 7,394.25 × 1,808.80
  4. Step 4: Simplify right side
    4,928.82x = 13,374,707.70
  5. Step 5: Solve for x
    x = 13,374,707.70/4,928.82
  6. Step 6: Final answer
    x = 2,713.57

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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.