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Finding the Fourth Proportional to 5,489.73, 7,577.25 and 3,392.64

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Solution

The fourth proportional to 5,489.73, 7,577.25 and 3,392.64 is: 4,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.73 : 7,577.25 = 3,392.64 : x
  2. Step 2: Convert to fraction form
    5,489.73/7,577.25 = 3,392.64/x
  3. Step 3: Cross multiply
    5,489.73x = 7,577.25 × 3,392.64
  4. Step 4: Simplify right side
    5,489.73x = 25,706,881.44
  5. Step 5: Solve for x
    x = 25,706,881.44/5,489.73
  6. Step 6: Final answer
    x = 4,682.72

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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.