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Finding the Fourth Proportional to 20,666.25, 30,999.39 and 6,815.25

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Solution

The fourth proportional to 20,666.25, 30,999.39 and 6,815.25 is: 10,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.25 : 30,999.39 = 6,815.25 : x
  2. Step 2: Convert to fraction form
    20,666.25/30,999.39 = 6,815.25/x
  3. Step 3: Cross multiply
    20,666.25x = 30,999.39 × 6,815.25
  4. Step 4: Simplify right side
    20,666.25x = 211,268,592.70
  5. Step 5: Solve for x
    x = 211,268,592.70/20,666.25
  6. Step 6: Final answer
    x = 10,222.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.