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Finding the Fourth Proportional to 21,883, 30,198.54 and 12,457

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Solution

The fourth proportional to 21,883, 30,198.54 and 12,457 is: 17,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883 : 30,198.54 = 12,457 : x
  2. Step 2: Convert to fraction form
    21,883/30,198.54 = 12,457/x
  3. Step 3: Cross multiply
    21,883x = 30,198.54 × 12,457
  4. Step 4: Simplify right side
    21,883x = 376,183,212.78
  5. Step 5: Solve for x
    x = 376,183,212.78/21,883
  6. Step 6: Final answer
    x = 17,190.66

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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.