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Finding the Fourth Proportional to 20,832, 28,757.64 and 13,288.68

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Solution

The fourth proportional to 20,832, 28,757.64 and 13,288.68 is: 18,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832 : 28,757.64 = 13,288.68 : x
  2. Step 2: Convert to fraction form
    20,832/28,757.64 = 13,288.68/x
  3. Step 3: Cross multiply
    20,832x = 28,757.64 × 13,288.68
  4. Step 4: Simplify right side
    20,832x = 382,151,075.52
  5. Step 5: Solve for x
    x = 382,151,075.52/20,832
  6. Step 6: Final answer
    x = 18,344.43

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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.