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Finding the Fourth Proportional to 20,090.83, 30,138.25 and 7,443.98

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Solution

The fourth proportional to 20,090.83, 30,138.25 and 7,443.98 is: 11,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.83 : 30,138.25 = 7,443.98 : x
  2. Step 2: Convert to fraction form
    20,090.83/30,138.25 = 7,443.98/x
  3. Step 3: Cross multiply
    20,090.83x = 30,138.25 × 7,443.98
  4. Step 4: Simplify right side
    20,090.83x = 224,348,530.24
  5. Step 5: Solve for x
    x = 224,348,530.24/20,090.83
  6. Step 6: Final answer
    x = 11,166.71

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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.