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Finding the Fourth Proportional to 13,854, 20,781.42 and 3,465.75

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Solution

The fourth proportional to 13,854, 20,781.42 and 3,465.75 is: 5,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854 : 20,781.42 = 3,465.75 : x
  2. Step 2: Convert to fraction form
    13,854/20,781.42 = 3,465.75/x
  3. Step 3: Cross multiply
    13,854x = 20,781.42 × 3,465.75
  4. Step 4: Simplify right side
    13,854x = 72,023,206.37
  5. Step 5: Solve for x
    x = 72,023,206.37/13,854
  6. Step 6: Final answer
    x = 5,198.73

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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.