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Finding the Fourth Proportional to 20,139, 30,214.92 and 8,449.08

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Solution

The fourth proportional to 20,139, 30,214.92 and 8,449.08 is: 12,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139 : 30,214.92 = 8,449.08 : x
  2. Step 2: Convert to fraction form
    20,139/30,214.92 = 8,449.08/x
  3. Step 3: Cross multiply
    20,139x = 30,214.92 × 8,449.08
  4. Step 4: Simplify right side
    20,139x = 255,288,276.27
  5. Step 5: Solve for x
    x = 255,288,276.27/20,139
  6. Step 6: Final answer
    x = 12,676.31

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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.