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Finding the Fourth Proportional to 20,413, 30,624.62 and 5,821

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Solution

The fourth proportional to 20,413, 30,624.62 and 5,821 is: 8,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 30,624.62 = 5,821 : x
  2. Step 2: Convert to fraction form
    20,413/30,624.62 = 5,821/x
  3. Step 3: Cross multiply
    20,413x = 30,624.62 × 5,821
  4. Step 4: Simplify right side
    20,413x = 178,265,913.02
  5. Step 5: Solve for x
    x = 178,265,913.02/20,413
  6. Step 6: Final answer
    x = 8,732.96

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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.