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Finding the Fourth Proportional to 3,937.60, 5,905.60 and 1,857.60

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Solution

The fourth proportional to 3,937.60, 5,905.60 and 1,857.60 is: 2,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.60 : 5,905.60 = 1,857.60 : x
  2. Step 2: Convert to fraction form
    3,937.60/5,905.60 = 1,857.60/x
  3. Step 3: Cross multiply
    3,937.60x = 5,905.60 × 1,857.60
  4. Step 4: Simplify right side
    3,937.60x = 10,970,242.56
  5. Step 5: Solve for x
    x = 10,970,242.56/3,937.60
  6. Step 6: Final answer
    x = 2,786.02

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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.