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Finding the Fourth Proportional to 20,174.80, 30,247.80 and 11,412.40

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Solution

The fourth proportional to 20,174.80, 30,247.80 and 11,412.40 is: 17,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.80 : 30,247.80 = 11,412.40 : x
  2. Step 2: Convert to fraction form
    20,174.80/30,247.80 = 11,412.40/x
  3. Step 3: Cross multiply
    20,174.80x = 30,247.80 × 11,412.40
  4. Step 4: Simplify right side
    20,174.80x = 345,199,992.72
  5. Step 5: Solve for x
    x = 345,199,992.72/20,174.80
  6. Step 6: Final answer
    x = 17,110.45

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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.