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Finding the Fourth Proportional to 2,640.52, 3,957.74 and 996.02

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Solution

The fourth proportional to 2,640.52, 3,957.74 and 996.02 is: 1,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.52 : 3,957.74 = 996.02 : x
  2. Step 2: Convert to fraction form
    2,640.52/3,957.74 = 996.02/x
  3. Step 3: Cross multiply
    2,640.52x = 3,957.74 × 996.02
  4. Step 4: Simplify right side
    2,640.52x = 3,941,988.19
  5. Step 5: Solve for x
    x = 3,941,988.19/2,640.52
  6. Step 6: Final answer
    x = 1,492.88

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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.