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Finding the Fourth Proportional to 2,730.42, 3,769.54 and 1,800.54

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Solution

The fourth proportional to 2,730.42, 3,769.54 and 1,800.54 is: 2,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.42 : 3,769.54 = 1,800.54 : x
  2. Step 2: Convert to fraction form
    2,730.42/3,769.54 = 1,800.54/x
  3. Step 3: Cross multiply
    2,730.42x = 3,769.54 × 1,800.54
  4. Step 4: Simplify right side
    2,730.42x = 6,787,207.55
  5. Step 5: Solve for x
    x = 6,787,207.55/2,730.42
  6. Step 6: Final answer
    x = 2,485.77

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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.