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Finding the Fourth Proportional to 13,958.73, 20,941.17 and 7,727.83

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Solution

The fourth proportional to 13,958.73, 20,941.17 and 7,727.83 is: 11,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.73 : 20,941.17 = 7,727.83 : x
  2. Step 2: Convert to fraction form
    13,958.73/20,941.17 = 7,727.83/x
  3. Step 3: Cross multiply
    13,958.73x = 20,941.17 × 7,727.83
  4. Step 4: Simplify right side
    13,958.73x = 161,829,801.76
  5. Step 5: Solve for x
    x = 161,829,801.76/13,958.73
  6. Step 6: Final answer
    x = 11,593.45

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1.5x scale

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.