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Finding the Fourth Proportional to 20,508, 30,764.16 and 9,412.80

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Solution

The fourth proportional to 20,508, 30,764.16 and 9,412.80 is: 14,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508 : 30,764.16 = 9,412.80 : x
  2. Step 2: Convert to fraction form
    20,508/30,764.16 = 9,412.80/x
  3. Step 3: Cross multiply
    20,508x = 30,764.16 × 9,412.80
  4. Step 4: Simplify right side
    20,508x = 289,576,885.25
  5. Step 5: Solve for x
    x = 289,576,885.25/20,508
  6. Step 6: Final answer
    x = 14,120.19

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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.