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Finding the Fourth Proportional to 2,784.88, 4,180 and 1,325

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Solution

The fourth proportional to 2,784.88, 4,180 and 1,325 is: 1,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.88 : 4,180 = 1,325 : x
  2. Step 2: Convert to fraction form
    2,784.88/4,180 = 1,325/x
  3. Step 3: Cross multiply
    2,784.88x = 4,180 × 1,325
  4. Step 4: Simplify right side
    2,784.88x = 5,538,500
  5. Step 5: Solve for x
    x = 5,538,500/2,784.88
  6. Step 6: Final answer
    x = 1,988.78

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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.