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Finding the Fourth Proportional to 20,131.08, 30,207 and 9,045.48

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Solution

The fourth proportional to 20,131.08, 30,207 and 9,045.48 is: 13,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.08 : 30,207 = 9,045.48 : x
  2. Step 2: Convert to fraction form
    20,131.08/30,207 = 9,045.48/x
  3. Step 3: Cross multiply
    20,131.08x = 30,207 × 9,045.48
  4. Step 4: Simplify right side
    20,131.08x = 273,236,814.36
  5. Step 5: Solve for x
    x = 273,236,814.36/20,131.08
  6. Step 6: Final answer
    x = 13,572.88

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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.