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Finding the Fourth Proportional to 20,768, 28,659.58 and 11,815.48

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Solution

The fourth proportional to 20,768, 28,659.58 and 11,815.48 is: 16,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 28,659.58 = 11,815.48 : x
  2. Step 2: Convert to fraction form
    20,768/28,659.58 = 11,815.48/x
  3. Step 3: Cross multiply
    20,768x = 28,659.58 × 11,815.48
  4. Step 4: Simplify right side
    20,768x = 338,626,694.30
  5. Step 5: Solve for x
    x = 338,626,694.30/20,768
  6. Step 6: Final answer
    x = 16,305.21

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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.