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Finding the Fourth Proportional to 20,137.20, 30,205.80 and 6,988.20

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Solution

The fourth proportional to 20,137.20, 30,205.80 and 6,988.20 is: 10,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.20 : 30,205.80 = 6,988.20 : x
  2. Step 2: Convert to fraction form
    20,137.20/30,205.80 = 6,988.20/x
  3. Step 3: Cross multiply
    20,137.20x = 30,205.80 × 6,988.20
  4. Step 4: Simplify right side
    20,137.20x = 211,084,171.56
  5. Step 5: Solve for x
    x = 211,084,171.56/20,137.20
  6. Step 6: Final answer
    x = 10,482.30

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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.