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Finding the Fourth Proportional to 20,840, 28,759.16 and 11,408.64

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Solution

The fourth proportional to 20,840, 28,759.16 and 11,408.64 is: 15,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840 : 28,759.16 = 11,408.64 : x
  2. Step 2: Convert to fraction form
    20,840/28,759.16 = 11,408.64/x
  3. Step 3: Cross multiply
    20,840x = 28,759.16 × 11,408.64
  4. Step 4: Simplify right side
    20,840x = 328,102,903.14
  5. Step 5: Solve for x
    x = 328,102,903.14/20,840
  6. Step 6: Final answer
    x = 15,743.90

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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.