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Finding the Fourth Proportional to 13,962, 20,943 and 3,573.75

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Solution

The fourth proportional to 13,962, 20,943 and 3,573.75 is: 5,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962 : 20,943 = 3,573.75 : x
  2. Step 2: Convert to fraction form
    13,962/20,943 = 3,573.75/x
  3. Step 3: Cross multiply
    13,962x = 20,943 × 3,573.75
  4. Step 4: Simplify right side
    13,962x = 74,845,046.25
  5. Step 5: Solve for x
    x = 74,845,046.25/13,962
  6. Step 6: Final answer
    x = 5,360.63

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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.