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Finding the Fourth Proportional to 20,016, 30,018.60 and 7,535.16

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Solution

The fourth proportional to 20,016, 30,018.60 and 7,535.16 is: 11,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016 : 30,018.60 = 7,535.16 : x
  2. Step 2: Convert to fraction form
    20,016/30,018.60 = 7,535.16/x
  3. Step 3: Cross multiply
    20,016x = 30,018.60 × 7,535.16
  4. Step 4: Simplify right side
    20,016x = 226,194,953.98
  5. Step 5: Solve for x
    x = 226,194,953.98/20,016
  6. Step 6: Final answer
    x = 11,300.71

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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.