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Finding the Fourth Proportional to 3,762.78, 5,188.20 and 3,555

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Solution

The fourth proportional to 3,762.78, 5,188.20 and 3,555 is: 4,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.78 : 5,188.20 = 3,555 : x
  2. Step 2: Convert to fraction form
    3,762.78/5,188.20 = 3,555/x
  3. Step 3: Cross multiply
    3,762.78x = 5,188.20 × 3,555
  4. Step 4: Simplify right side
    3,762.78x = 18,444,051
  5. Step 5: Solve for x
    x = 18,444,051/3,762.78
  6. Step 6: Final answer
    x = 4,901.71

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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.