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Finding the Fourth Proportional to 21,908, 30,205.20 and 16,809.44

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Solution

The fourth proportional to 21,908, 30,205.20 and 16,809.44 is: 23,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908 : 30,205.20 = 16,809.44 : x
  2. Step 2: Convert to fraction form
    21,908/30,205.20 = 16,809.44/x
  3. Step 3: Cross multiply
    21,908x = 30,205.20 × 16,809.44
  4. Step 4: Simplify right side
    21,908x = 507,732,497.09
  5. Step 5: Solve for x
    x = 507,732,497.09/21,908
  6. Step 6: Final answer
    x = 23,175.67

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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.