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Finding the Fourth Proportional to 3,960.96, 5,946.24 and 1,854.60

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Solution

The fourth proportional to 3,960.96, 5,946.24 and 1,854.60 is: 2,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.96 : 5,946.24 = 1,854.60 : x
  2. Step 2: Convert to fraction form
    3,960.96/5,946.24 = 1,854.60/x
  3. Step 3: Cross multiply
    3,960.96x = 5,946.24 × 1,854.60
  4. Step 4: Simplify right side
    3,960.96x = 11,027,896.70
  5. Step 5: Solve for x
    x = 11,027,896.70/3,960.96
  6. Step 6: Final answer
    x = 2,784.15

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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.