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Finding the Fourth Proportional to 20,894.43, 28,832.59 and 11,463

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Solution

The fourth proportional to 20,894.43, 28,832.59 and 11,463 is: 15,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.43 : 28,832.59 = 11,463 : x
  2. Step 2: Convert to fraction form
    20,894.43/28,832.59 = 11,463/x
  3. Step 3: Cross multiply
    20,894.43x = 28,832.59 × 11,463
  4. Step 4: Simplify right side
    20,894.43x = 330,507,979.17
  5. Step 5: Solve for x
    x = 330,507,979.17/20,894.43
  6. Step 6: Final answer
    x = 15,817.99

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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.