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Finding the Fourth Proportional to 20,297.70, 30,446.58 and 7,823.60

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Solution

The fourth proportional to 20,297.70, 30,446.58 and 7,823.60 is: 11,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.70 : 30,446.58 = 7,823.60 : x
  2. Step 2: Convert to fraction form
    20,297.70/30,446.58 = 7,823.60/x
  3. Step 3: Cross multiply
    20,297.70x = 30,446.58 × 7,823.60
  4. Step 4: Simplify right side
    20,297.70x = 238,201,740.39
  5. Step 5: Solve for x
    x = 238,201,740.39/20,297.70
  6. Step 6: Final answer
    x = 11,735.41

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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.