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Finding the Fourth Proportional to 2,640.56, 3,957.87 and 995.99

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Solution

The fourth proportional to 2,640.56, 3,957.87 and 995.99 is: 1,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.56 : 3,957.87 = 995.99 : x
  2. Step 2: Convert to fraction form
    2,640.56/3,957.87 = 995.99/x
  3. Step 3: Cross multiply
    2,640.56x = 3,957.87 × 995.99
  4. Step 4: Simplify right side
    2,640.56x = 3,941,998.94
  5. Step 5: Solve for x
    x = 3,941,998.94/2,640.56
  6. Step 6: Final answer
    x = 1,492.86

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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.