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Finding the Fourth Proportional to 13,859.71, 20,756.45 and 7,998.55

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Solution

The fourth proportional to 13,859.71, 20,756.45 and 7,998.55 is: 11,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.71 : 20,756.45 = 7,998.55 : x
  2. Step 2: Convert to fraction form
    13,859.71/20,756.45 = 7,998.55/x
  3. Step 3: Cross multiply
    13,859.71x = 20,756.45 × 7,998.55
  4. Step 4: Simplify right side
    13,859.71x = 166,021,471.25
  5. Step 5: Solve for x
    x = 166,021,471.25/13,859.71
  6. Step 6: Final answer
    x = 11,978.71

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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.