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Finding the Fourth Proportional to 13,697.64, 18,874.86 and 9,450

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Solution

The fourth proportional to 13,697.64, 18,874.86 and 9,450 is: 13,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.64 : 18,874.86 = 9,450 : x
  2. Step 2: Convert to fraction form
    13,697.64/18,874.86 = 9,450/x
  3. Step 3: Cross multiply
    13,697.64x = 18,874.86 × 9,450
  4. Step 4: Simplify right side
    13,697.64x = 178,367,427
  5. Step 5: Solve for x
    x = 178,367,427/13,697.64
  6. Step 6: Final answer
    x = 13,021.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.