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Finding the Fourth Proportional to 20,558.70, 30,819.51 and 7,401.78

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Solution

The fourth proportional to 20,558.70, 30,819.51 and 7,401.78 is: 11,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.70 : 30,819.51 = 7,401.78 : x
  2. Step 2: Convert to fraction form
    20,558.70/30,819.51 = 7,401.78/x
  3. Step 3: Cross multiply
    20,558.70x = 30,819.51 × 7,401.78
  4. Step 4: Simplify right side
    20,558.70x = 228,119,232.73
  5. Step 5: Solve for x
    x = 228,119,232.73/20,558.70
  6. Step 6: Final answer
    x = 11,096.00

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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.