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Finding the Fourth Proportional to 20,671.90, 31,008.06 and 8,194.94

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Solution

The fourth proportional to 20,671.90, 31,008.06 and 8,194.94 is: 12,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.90 : 31,008.06 = 8,194.94 : x
  2. Step 2: Convert to fraction form
    20,671.90/31,008.06 = 8,194.94/x
  3. Step 3: Cross multiply
    20,671.90x = 31,008.06 × 8,194.94
  4. Step 4: Simplify right side
    20,671.90x = 254,109,191.22
  5. Step 5: Solve for x
    x = 254,109,191.22/20,671.90
  6. Step 6: Final answer
    x = 12,292.49

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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.