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Finding the Fourth Proportional to 3,005.96, 4,148.62 and 1,679.94

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Solution

The fourth proportional to 3,005.96, 4,148.62 and 1,679.94 is: 2,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.96 : 4,148.62 = 1,679.94 : x
  2. Step 2: Convert to fraction form
    3,005.96/4,148.62 = 1,679.94/x
  3. Step 3: Cross multiply
    3,005.96x = 4,148.62 × 1,679.94
  4. Step 4: Simplify right side
    3,005.96x = 6,969,428.48
  5. Step 5: Solve for x
    x = 6,969,428.48/3,005.96
  6. Step 6: Final answer
    x = 2,318.54

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