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Finding the Fourth Proportional to 5,634.72, 7,776.54 and 3,245.22

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Solution

The fourth proportional to 5,634.72, 7,776.54 and 3,245.22 is: 4,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.72 : 7,776.54 = 3,245.22 : x
  2. Step 2: Convert to fraction form
    5,634.72/7,776.54 = 3,245.22/x
  3. Step 3: Cross multiply
    5,634.72x = 7,776.54 × 3,245.22
  4. Step 4: Simplify right side
    5,634.72x = 25,236,583.14
  5. Step 5: Solve for x
    x = 25,236,583.14/5,634.72
  6. Step 6: Final answer
    x = 4,478.76

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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.