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Finding the Fourth Proportional to 20,306.16, 30,375 and 19,062

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Solution

The fourth proportional to 20,306.16, 30,375 and 19,062 is: 28,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.16 : 30,375 = 19,062 : x
  2. Step 2: Convert to fraction form
    20,306.16/30,375 = 19,062/x
  3. Step 3: Cross multiply
    20,306.16x = 30,375 × 19,062
  4. Step 4: Simplify right side
    20,306.16x = 579,008,250
  5. Step 5: Solve for x
    x = 579,008,250/20,306.16
  6. Step 6: Final answer
    x = 28,513.92

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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.