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Finding the Fourth Proportional to 19,876, 27,428.88 and 11,493.04

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Solution

The fourth proportional to 19,876, 27,428.88 and 11,493.04 is: 15,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876 : 27,428.88 = 11,493.04 : x
  2. Step 2: Convert to fraction form
    19,876/27,428.88 = 11,493.04/x
  3. Step 3: Cross multiply
    19,876x = 27,428.88 × 11,493.04
  4. Step 4: Simplify right side
    19,876x = 315,241,215.00
  5. Step 5: Solve for x
    x = 315,241,215.00/19,876
  6. Step 6: Final answer
    x = 15,860.40

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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.