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Finding the Fourth Proportional to 20,476.80, 30,713.76 and 7,994.52

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Solution

The fourth proportional to 20,476.80, 30,713.76 and 7,994.52 is: 11,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.80 : 30,713.76 = 7,994.52 : x
  2. Step 2: Convert to fraction form
    20,476.80/30,713.76 = 7,994.52/x
  3. Step 3: Cross multiply
    20,476.80x = 30,713.76 × 7,994.52
  4. Step 4: Simplify right side
    20,476.80x = 245,541,768.60
  5. Step 5: Solve for x
    x = 245,541,768.60/20,476.80
  6. Step 6: Final answer
    x = 11,991.22

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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.