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Finding the Fourth Proportional to 20,015.31, 30,022.97 and 6,164.31

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Solution

The fourth proportional to 20,015.31, 30,022.97 and 6,164.31 is: 9,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015.31 : 30,022.97 = 6,164.31 : x
  2. Step 2: Convert to fraction form
    20,015.31/30,022.97 = 6,164.31/x
  3. Step 3: Cross multiply
    20,015.31x = 30,022.97 × 6,164.31
  4. Step 4: Simplify right side
    20,015.31x = 185,070,894.20
  5. Step 5: Solve for x
    x = 185,070,894.20/20,015.31
  6. Step 6: Final answer
    x = 9,246.47

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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.