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Finding the Fourth Proportional to 13,950.68, 20,922.78 and 5,189.72

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Solution

The fourth proportional to 13,950.68, 20,922.78 and 5,189.72 is: 7,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.68 : 20,922.78 = 5,189.72 : x
  2. Step 2: Convert to fraction form
    13,950.68/20,922.78 = 5,189.72/x
  3. Step 3: Cross multiply
    13,950.68x = 20,922.78 × 5,189.72
  4. Step 4: Simplify right side
    13,950.68x = 108,583,369.82
  5. Step 5: Solve for x
    x = 108,583,369.82/13,950.68
  6. Step 6: Final answer
    x = 7,783.37

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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.