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Finding the Fourth Proportional to 11,975.97, 17,963.88 and 3,655.95

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Solution

The fourth proportional to 11,975.97, 17,963.88 and 3,655.95 is: 5,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.97 : 17,963.88 = 3,655.95 : x
  2. Step 2: Convert to fraction form
    11,975.97/17,963.88 = 3,655.95/x
  3. Step 3: Cross multiply
    11,975.97x = 17,963.88 × 3,655.95
  4. Step 4: Simplify right side
    11,975.97x = 65,675,047.09
  5. Step 5: Solve for x
    x = 65,675,047.09/11,975.97
  6. Step 6: Final answer
    x = 5,483.90

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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.