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Finding the Fourth Proportional to 19,729.50, 27,227.52 and 11,346

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Solution

The fourth proportional to 19,729.50, 27,227.52 and 11,346 is: 15,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.50 : 27,227.52 = 11,346 : x
  2. Step 2: Convert to fraction form
    19,729.50/27,227.52 = 11,346/x
  3. Step 3: Cross multiply
    19,729.50x = 27,227.52 × 11,346
  4. Step 4: Simplify right side
    19,729.50x = 308,923,441.92
  5. Step 5: Solve for x
    x = 308,923,441.92/19,729.50
  6. Step 6: Final answer
    x = 15,657.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.