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Finding the Fourth Proportional to 20,090.82, 30,133.90 and 5,097.86

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Solution

The fourth proportional to 20,090.82, 30,133.90 and 5,097.86 is: 7,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.82 : 30,133.90 = 5,097.86 : x
  2. Step 2: Convert to fraction form
    20,090.82/30,133.90 = 5,097.86/x
  3. Step 3: Cross multiply
    20,090.82x = 30,133.90 × 5,097.86
  4. Step 4: Simplify right side
    20,090.82x = 153,618,403.45
  5. Step 5: Solve for x
    x = 153,618,403.45/20,090.82
  6. Step 6: Final answer
    x = 7,646.20

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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.