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Finding the Fourth Proportional to 20,624.80, 30,933.76 and 5,830.34

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Solution

The fourth proportional to 20,624.80, 30,933.76 and 5,830.34 is: 8,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624.80 : 30,933.76 = 5,830.34 : x
  2. Step 2: Convert to fraction form
    20,624.80/30,933.76 = 5,830.34/x
  3. Step 3: Cross multiply
    20,624.80x = 30,933.76 × 5,830.34
  4. Step 4: Simplify right side
    20,624.80x = 180,354,338.28
  5. Step 5: Solve for x
    x = 180,354,338.28/20,624.80
  6. Step 6: Final answer
    x = 8,744.54

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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.