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Finding the Fourth Proportional to 11,937.88, 17,907 and 4,146.88

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Solution

The fourth proportional to 11,937.88, 17,907 and 4,146.88 is: 6,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.88 : 17,907 = 4,146.88 : x
  2. Step 2: Convert to fraction form
    11,937.88/17,907 = 4,146.88/x
  3. Step 3: Cross multiply
    11,937.88x = 17,907 × 4,146.88
  4. Step 4: Simplify right side
    11,937.88x = 74,258,180.16
  5. Step 5: Solve for x
    x = 74,258,180.16/11,937.88
  6. Step 6: Final answer
    x = 6,220.38

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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.