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Finding the Fourth Proportional to 20,874.64, 28,804.16 and 11,921.52

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Solution

The fourth proportional to 20,874.64, 28,804.16 and 11,921.52 is: 16,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.64 : 28,804.16 = 11,921.52 : x
  2. Step 2: Convert to fraction form
    20,874.64/28,804.16 = 11,921.52/x
  3. Step 3: Cross multiply
    20,874.64x = 28,804.16 × 11,921.52
  4. Step 4: Simplify right side
    20,874.64x = 343,389,369.52
  5. Step 5: Solve for x
    x = 343,389,369.52/20,874.64
  6. Step 6: Final answer
    x = 16,450.07

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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.