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Finding the Fourth Proportional to 21,838.50, 30,137.16 and 11,902.50

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Solution

The fourth proportional to 21,838.50, 30,137.16 and 11,902.50 is: 16,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.50 : 30,137.16 = 11,902.50 : x
  2. Step 2: Convert to fraction form
    21,838.50/30,137.16 = 11,902.50/x
  3. Step 3: Cross multiply
    21,838.50x = 30,137.16 × 11,902.50
  4. Step 4: Simplify right side
    21,838.50x = 358,707,546.90
  5. Step 5: Solve for x
    x = 358,707,546.90/21,838.50
  6. Step 6: Final answer
    x = 16,425.47

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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.