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Finding the Fourth Proportional to 20,198.70, 30,298.05 and 7,886.70

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Solution

The fourth proportional to 20,198.70, 30,298.05 and 7,886.70 is: 11,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.70 : 30,298.05 = 7,886.70 : x
  2. Step 2: Convert to fraction form
    20,198.70/30,298.05 = 7,886.70/x
  3. Step 3: Cross multiply
    20,198.70x = 30,298.05 × 7,886.70
  4. Step 4: Simplify right side
    20,198.70x = 238,951,630.94
  5. Step 5: Solve for x
    x = 238,951,630.94/20,198.70
  6. Step 6: Final answer
    x = 11,830.05

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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.