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Finding the Fourth Proportional to 18,200.46, 27,295.77 and 7,809.78

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Solution

The fourth proportional to 18,200.46, 27,295.77 and 7,809.78 is: 11,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.46 : 27,295.77 = 7,809.78 : x
  2. Step 2: Convert to fraction form
    18,200.46/27,295.77 = 7,809.78/x
  3. Step 3: Cross multiply
    18,200.46x = 27,295.77 × 7,809.78
  4. Step 4: Simplify right side
    18,200.46x = 213,173,958.63
  5. Step 5: Solve for x
    x = 213,173,958.63/18,200.46
  6. Step 6: Final answer
    x = 11,712.56

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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.