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Finding the Fourth Proportional to 20,577.76, 30,866.50 and 5,786.58

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Solution

The fourth proportional to 20,577.76, 30,866.50 and 5,786.58 is: 8,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.76 : 30,866.50 = 5,786.58 : x
  2. Step 2: Convert to fraction form
    20,577.76/30,866.50 = 5,786.58/x
  3. Step 3: Cross multiply
    20,577.76x = 30,866.50 × 5,786.58
  4. Step 4: Simplify right side
    20,577.76x = 178,611,471.57
  5. Step 5: Solve for x
    x = 178,611,471.57/20,577.76
  6. Step 6: Final answer
    x = 8,679.83

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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.