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Finding the Fourth Proportional to 4,182, 5,771.36 and 2,319

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Solution

The fourth proportional to 4,182, 5,771.36 and 2,319 is: 3,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 5,771.36 = 2,319 : x
  2. Step 2: Convert to fraction form
    4,182/5,771.36 = 2,319/x
  3. Step 3: Cross multiply
    4,182x = 5,771.36 × 2,319
  4. Step 4: Simplify right side
    4,182x = 13,383,783.84
  5. Step 5: Solve for x
    x = 13,383,783.84/4,182
  6. Step 6: Final answer
    x = 3,200.33

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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.