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Finding the Fourth Proportional to 4,548.68, 6,828.50 and 3,083.40

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Solution

The fourth proportional to 4,548.68, 6,828.50 and 3,083.40 is: 4,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.68 : 6,828.50 = 3,083.40 : x
  2. Step 2: Convert to fraction form
    4,548.68/6,828.50 = 3,083.40/x
  3. Step 3: Cross multiply
    4,548.68x = 6,828.50 × 3,083.40
  4. Step 4: Simplify right side
    4,548.68x = 21,054,996.90
  5. Step 5: Solve for x
    x = 21,054,996.90/4,548.68
  6. Step 6: Final answer
    x = 4,628.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.