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Finding the Fourth Proportional to 20,072.70, 30,109.05 and 12,653.10

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Solution

The fourth proportional to 20,072.70, 30,109.05 and 12,653.10 is: 18,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.70 : 30,109.05 = 12,653.10 : x
  2. Step 2: Convert to fraction form
    20,072.70/30,109.05 = 12,653.10/x
  3. Step 3: Cross multiply
    20,072.70x = 30,109.05 × 12,653.10
  4. Step 4: Simplify right side
    20,072.70x = 380,972,820.56
  5. Step 5: Solve for x
    x = 380,972,820.56/20,072.70
  6. Step 6: Final answer
    x = 18,979.65

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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.