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Finding the Fourth Proportional to 3,978.95, 5,489.30 and 2,407.28

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Solution

The fourth proportional to 3,978.95, 5,489.30 and 2,407.28 is: 3,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.95 : 5,489.30 = 2,407.28 : x
  2. Step 2: Convert to fraction form
    3,978.95/5,489.30 = 2,407.28/x
  3. Step 3: Cross multiply
    3,978.95x = 5,489.30 × 2,407.28
  4. Step 4: Simplify right side
    3,978.95x = 13,214,260.68
  5. Step 5: Solve for x
    x = 13,214,260.68/3,978.95
  6. Step 6: Final answer
    x = 3,321.05

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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.