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Finding the Fourth Proportional to 13,982.20, 20,924.70 and 9,608.20

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Solution

The fourth proportional to 13,982.20, 20,924.70 and 9,608.20 is: 14,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.20 : 20,924.70 = 9,608.20 : x
  2. Step 2: Convert to fraction form
    13,982.20/20,924.70 = 9,608.20/x
  3. Step 3: Cross multiply
    13,982.20x = 20,924.70 × 9,608.20
  4. Step 4: Simplify right side
    13,982.20x = 201,048,702.54
  5. Step 5: Solve for x
    x = 201,048,702.54/13,982.20
  6. Step 6: Final answer
    x = 14,378.90

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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.