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Finding the Fourth Proportional to 5,725.60, 8,577.60 and 2,942.80

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Solution

The fourth proportional to 5,725.60, 8,577.60 and 2,942.80 is: 4,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.60 : 8,577.60 = 2,942.80 : x
  2. Step 2: Convert to fraction form
    5,725.60/8,577.60 = 2,942.80/x
  3. Step 3: Cross multiply
    5,725.60x = 8,577.60 × 2,942.80
  4. Step 4: Simplify right side
    5,725.60x = 25,242,161.28
  5. Step 5: Solve for x
    x = 25,242,161.28/5,725.60
  6. Step 6: Final answer
    x = 4,408.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.