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Finding the Fourth Proportional to 20,844, 28,764.68 and 11,412.64

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Solution

The fourth proportional to 20,844, 28,764.68 and 11,412.64 is: 15,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 28,764.68 = 11,412.64 : x
  2. Step 2: Convert to fraction form
    20,844/28,764.68 = 11,412.64/x
  3. Step 3: Cross multiply
    20,844x = 28,764.68 × 11,412.64
  4. Step 4: Simplify right side
    20,844x = 328,280,937.56
  5. Step 5: Solve for x
    x = 328,280,937.56/20,844
  6. Step 6: Final answer
    x = 15,749.42

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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.