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Finding the Fourth Proportional to 3,049.26, 4,207.98 and 1,652

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Solution

The fourth proportional to 3,049.26, 4,207.98 and 1,652 is: 2,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.26 : 4,207.98 = 1,652 : x
  2. Step 2: Convert to fraction form
    3,049.26/4,207.98 = 1,652/x
  3. Step 3: Cross multiply
    3,049.26x = 4,207.98 × 1,652
  4. Step 4: Simplify right side
    3,049.26x = 6,951,582.96
  5. Step 5: Solve for x
    x = 6,951,582.96/3,049.26
  6. Step 6: Final answer
    x = 2,279.76

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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.