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Finding the Fourth Proportional to 20,343, 30,514.68 and 7,197.60

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Solution

The fourth proportional to 20,343, 30,514.68 and 7,197.60 is: 10,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343 : 30,514.68 = 7,197.60 : x
  2. Step 2: Convert to fraction form
    20,343/30,514.68 = 7,197.60/x
  3. Step 3: Cross multiply
    20,343x = 30,514.68 × 7,197.60
  4. Step 4: Simplify right side
    20,343x = 219,632,460.77
  5. Step 5: Solve for x
    x = 219,632,460.77/20,343
  6. Step 6: Final answer
    x = 10,796.46

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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.