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Finding the Fourth Proportional to 20,580.77, 30,871.17 and 5,789.70

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Solution

The fourth proportional to 20,580.77, 30,871.17 and 5,789.70 is: 8,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.77 : 30,871.17 = 5,789.70 : x
  2. Step 2: Convert to fraction form
    20,580.77/30,871.17 = 5,789.70/x
  3. Step 3: Cross multiply
    20,580.77x = 30,871.17 × 5,789.70
  4. Step 4: Simplify right side
    20,580.77x = 178,734,812.95
  5. Step 5: Solve for x
    x = 178,734,812.95/20,580.77
  6. Step 6: Final answer
    x = 8,684.56

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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.