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Finding the Fourth Proportional to 20,144, 30,186.80 and 11,360.24

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Solution

The fourth proportional to 20,144, 30,186.80 and 11,360.24 is: 17,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144 : 30,186.80 = 11,360.24 : x
  2. Step 2: Convert to fraction form
    20,144/30,186.80 = 11,360.24/x
  3. Step 3: Cross multiply
    20,144x = 30,186.80 × 11,360.24
  4. Step 4: Simplify right side
    20,144x = 342,929,292.83
  5. Step 5: Solve for x
    x = 342,929,292.83/20,144
  6. Step 6: Final answer
    x = 17,023.89

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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.