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Finding the Fourth Proportional to 3,608.40, 4,978.56 and 2,489.64

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Solution

The fourth proportional to 3,608.40, 4,978.56 and 2,489.64 is: 3,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.40 : 4,978.56 = 2,489.64 : x
  2. Step 2: Convert to fraction form
    3,608.40/4,978.56 = 2,489.64/x
  3. Step 3: Cross multiply
    3,608.40x = 4,978.56 × 2,489.64
  4. Step 4: Simplify right side
    3,608.40x = 12,394,822.12
  5. Step 5: Solve for x
    x = 12,394,822.12/3,608.40
  6. Step 6: Final answer
    x = 3,434.99

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1.5x scale

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.