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Finding the Fourth Proportional to 14,438.53, 19,923.73 and 8,149.69

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Solution

The fourth proportional to 14,438.53, 19,923.73 and 8,149.69 is: 11,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.53 : 19,923.73 = 8,149.69 : x
  2. Step 2: Convert to fraction form
    14,438.53/19,923.73 = 8,149.69/x
  3. Step 3: Cross multiply
    14,438.53x = 19,923.73 × 8,149.69
  4. Step 4: Simplify right side
    14,438.53x = 162,372,223.14
  5. Step 5: Solve for x
    x = 162,372,223.14/14,438.53
  6. Step 6: Final answer
    x = 11,245.76

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1.5x scale

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.