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Finding the Fourth Proportional to 5,388, 7,431.56 and 3,797.92

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Solution

The fourth proportional to 5,388, 7,431.56 and 3,797.92 is: 5,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388 : 7,431.56 = 3,797.92 : x
  2. Step 2: Convert to fraction form
    5,388/7,431.56 = 3,797.92/x
  3. Step 3: Cross multiply
    5,388x = 7,431.56 × 3,797.92
  4. Step 4: Simplify right side
    5,388x = 28,224,470.36
  5. Step 5: Solve for x
    x = 28,224,470.36/5,388
  6. Step 6: Final answer
    x = 5,238.39

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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.