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Finding the Fourth Proportional to 20,631.22, 30,978.42 and 18,186.64

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Solution

The fourth proportional to 20,631.22, 30,978.42 and 18,186.64 is: 27,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631.22 : 30,978.42 = 18,186.64 : x
  2. Step 2: Convert to fraction form
    20,631.22/30,978.42 = 18,186.64/x
  3. Step 3: Cross multiply
    20,631.22x = 30,978.42 × 18,186.64
  4. Step 4: Simplify right side
    20,631.22x = 563,393,372.31
  5. Step 5: Solve for x
    x = 563,393,372.31/20,631.22
  6. Step 6: Final answer
    x = 27,307.81

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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.