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Finding the Fourth Proportional to 4,279.60, 6,408.60 and 3,415.60

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Solution

The fourth proportional to 4,279.60, 6,408.60 and 3,415.60 is: 5,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.60 : 6,408.60 = 3,415.60 : x
  2. Step 2: Convert to fraction form
    4,279.60/6,408.60 = 3,415.60/x
  3. Step 3: Cross multiply
    4,279.60x = 6,408.60 × 3,415.60
  4. Step 4: Simplify right side
    4,279.60x = 21,889,214.16
  5. Step 5: Solve for x
    x = 21,889,214.16/4,279.60
  6. Step 6: Final answer
    x = 5,114.78

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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.