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Finding the Fourth Proportional to 6,108.48, 8,427.84 and 3,749.12

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Solution

The fourth proportional to 6,108.48, 8,427.84 and 3,749.12 is: 5,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.48 : 8,427.84 = 3,749.12 : x
  2. Step 2: Convert to fraction form
    6,108.48/8,427.84 = 3,749.12/x
  3. Step 3: Cross multiply
    6,108.48x = 8,427.84 × 3,749.12
  4. Step 4: Simplify right side
    6,108.48x = 31,596,983.50
  5. Step 5: Solve for x
    x = 31,596,983.50/6,108.48
  6. Step 6: Final answer
    x = 5,172.64

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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.