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Finding the Fourth Proportional to 3,693.20, 5,539.80 and 3,042.32

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Solution

The fourth proportional to 3,693.20, 5,539.80 and 3,042.32 is: 4,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.20 : 5,539.80 = 3,042.32 : x
  2. Step 2: Convert to fraction form
    3,693.20/5,539.80 = 3,042.32/x
  3. Step 3: Cross multiply
    3,693.20x = 5,539.80 × 3,042.32
  4. Step 4: Simplify right side
    3,693.20x = 16,853,844.34
  5. Step 5: Solve for x
    x = 16,853,844.34/3,693.20
  6. Step 6: Final answer
    x = 4,563.48

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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.