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Finding the Fourth Proportional to 11,928, 17,889.60 and 4,137.12

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Solution

The fourth proportional to 11,928, 17,889.60 and 4,137.12 is: 6,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928 : 17,889.60 = 4,137.12 : x
  2. Step 2: Convert to fraction form
    11,928/17,889.60 = 4,137.12/x
  3. Step 3: Cross multiply
    11,928x = 17,889.60 × 4,137.12
  4. Step 4: Simplify right side
    11,928x = 74,011,421.95
  5. Step 5: Solve for x
    x = 74,011,421.95/11,928
  6. Step 6: Final answer
    x = 6,204.85

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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.