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Finding the Fourth Proportional to 2,784.57, 4,173.61 and 2,753.79

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Solution

The fourth proportional to 2,784.57, 4,173.61 and 2,753.79 is: 4,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.57 : 4,173.61 = 2,753.79 : x
  2. Step 2: Convert to fraction form
    2,784.57/4,173.61 = 2,753.79/x
  3. Step 3: Cross multiply
    2,784.57x = 4,173.61 × 2,753.79
  4. Step 4: Simplify right side
    2,784.57x = 11,493,245.48
  5. Step 5: Solve for x
    x = 11,493,245.48/2,784.57
  6. Step 6: Final answer
    x = 4,127.48

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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.