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Finding the Fourth Proportional to 5,615.36, 7,749.24 and 3,097.44

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Solution

The fourth proportional to 5,615.36, 7,749.24 and 3,097.44 is: 4,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.36 : 7,749.24 = 3,097.44 : x
  2. Step 2: Convert to fraction form
    5,615.36/7,749.24 = 3,097.44/x
  3. Step 3: Cross multiply
    5,615.36x = 7,749.24 × 3,097.44
  4. Step 4: Simplify right side
    5,615.36x = 24,002,805.95
  5. Step 5: Solve for x
    x = 24,002,805.95/5,615.36
  6. Step 6: Final answer
    x = 4,274.49

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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.