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Finding the Fourth Proportional to 5,383.44, 7,428.64 and 3,025.12

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Solution

The fourth proportional to 5,383.44, 7,428.64 and 3,025.12 is: 4,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.44 : 7,428.64 = 3,025.12 : x
  2. Step 2: Convert to fraction form
    5,383.44/7,428.64 = 3,025.12/x
  3. Step 3: Cross multiply
    5,383.44x = 7,428.64 × 3,025.12
  4. Step 4: Simplify right side
    5,383.44x = 22,472,527.44
  5. Step 5: Solve for x
    x = 22,472,527.44/5,383.44
  6. Step 6: Final answer
    x = 4,174.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.