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Finding the Fourth Proportional to 20,412, 30,623.12 and 5,820

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Solution

The fourth proportional to 20,412, 30,623.12 and 5,820 is: 8,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412 : 30,623.12 = 5,820 : x
  2. Step 2: Convert to fraction form
    20,412/30,623.12 = 5,820/x
  3. Step 3: Cross multiply
    20,412x = 30,623.12 × 5,820
  4. Step 4: Simplify right side
    20,412x = 178,226,558.40
  5. Step 5: Solve for x
    x = 178,226,558.40/20,412
  6. Step 6: Final answer
    x = 8,731.46

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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.