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Finding the Fourth Proportional to 11,975.79, 17,963.69 and 3,655.86

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Solution

The fourth proportional to 11,975.79, 17,963.69 and 3,655.86 is: 5,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.79 : 17,963.69 = 3,655.86 : x
  2. Step 2: Convert to fraction form
    11,975.79/17,963.69 = 3,655.86/x
  3. Step 3: Cross multiply
    11,975.79x = 17,963.69 × 3,655.86
  4. Step 4: Simplify right side
    11,975.79x = 65,672,735.72
  5. Step 5: Solve for x
    x = 65,672,735.72/11,975.79
  6. Step 6: Final answer
    x = 5,483.79

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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.