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Finding the Fourth Proportional to 3,975, 5,485.50 and 2,319

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Solution

The fourth proportional to 3,975, 5,485.50 and 2,319 is: 3,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975 : 5,485.50 = 2,319 : x
  2. Step 2: Convert to fraction form
    3,975/5,485.50 = 2,319/x
  3. Step 3: Cross multiply
    3,975x = 5,485.50 × 2,319
  4. Step 4: Simplify right side
    3,975x = 12,720,874.50
  5. Step 5: Solve for x
    x = 12,720,874.50/3,975
  6. Step 6: Final answer
    x = 3,200.22

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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.