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Finding the Fourth Proportional to 5,462.38, 8,194.80 and 1,999.63

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Solution

The fourth proportional to 5,462.38, 8,194.80 and 1,999.63 is: 2,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.38 : 8,194.80 = 1,999.63 : x
  2. Step 2: Convert to fraction form
    5,462.38/8,194.80 = 1,999.63/x
  3. Step 3: Cross multiply
    5,462.38x = 8,194.80 × 1,999.63
  4. Step 4: Simplify right side
    5,462.38x = 16,386,567.92
  5. Step 5: Solve for x
    x = 16,386,567.92/5,462.38
  6. Step 6: Final answer
    x = 2,999.90

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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.