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Finding the Fourth Proportional to 11,758.80, 17,640.60 and 3,968.40

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Solution

The fourth proportional to 11,758.80, 17,640.60 and 3,968.40 is: 5,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.80 : 17,640.60 = 3,968.40 : x
  2. Step 2: Convert to fraction form
    11,758.80/17,640.60 = 3,968.40/x
  3. Step 3: Cross multiply
    11,758.80x = 17,640.60 × 3,968.40
  4. Step 4: Simplify right side
    11,758.80x = 70,004,957.04
  5. Step 5: Solve for x
    x = 70,004,957.04/11,758.80
  6. Step 6: Final answer
    x = 5,953.41

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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.