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Finding the Fourth Proportional to 3,234.64, 4,847.64 and 1,771.60

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Solution

The fourth proportional to 3,234.64, 4,847.64 and 1,771.60 is: 2,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.64 : 4,847.64 = 1,771.60 : x
  2. Step 2: Convert to fraction form
    3,234.64/4,847.64 = 1,771.60/x
  3. Step 3: Cross multiply
    3,234.64x = 4,847.64 × 1,771.60
  4. Step 4: Simplify right side
    3,234.64x = 8,588,079.02
  5. Step 5: Solve for x
    x = 8,588,079.02/3,234.64
  6. Step 6: Final answer
    x = 2,655.03

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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.