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Finding the Fourth Proportional to 7,388.55, 10,195.78 and 4,201.39

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Solution

The fourth proportional to 7,388.55, 10,195.78 and 4,201.39 is: 5,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.55 : 10,195.78 = 4,201.39 : x
  2. Step 2: Convert to fraction form
    7,388.55/10,195.78 = 4,201.39/x
  3. Step 3: Cross multiply
    7,388.55x = 10,195.78 × 4,201.39
  4. Step 4: Simplify right side
    7,388.55x = 42,836,448.13
  5. Step 5: Solve for x
    x = 42,836,448.13/7,388.55
  6. Step 6: Final answer
    x = 5,797.68

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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.