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Finding the Fourth Proportional to 3,978.44, 5,484.40 and 2,485.68

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Solution

The fourth proportional to 3,978.44, 5,484.40 and 2,485.68 is: 3,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.44 : 5,484.40 = 2,485.68 : x
  2. Step 2: Convert to fraction form
    3,978.44/5,484.40 = 2,485.68/x
  3. Step 3: Cross multiply
    3,978.44x = 5,484.40 × 2,485.68
  4. Step 4: Simplify right side
    3,978.44x = 13,632,463.39
  5. Step 5: Solve for x
    x = 13,632,463.39/3,978.44
  6. Step 6: Final answer
    x = 3,426.59

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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.