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Finding the Fourth Proportional to 14,221, 19,615.62 and 9,183.88

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Solution

The fourth proportional to 14,221, 19,615.62 and 9,183.88 is: 12,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221 : 19,615.62 = 9,183.88 : x
  2. Step 2: Convert to fraction form
    14,221/19,615.62 = 9,183.88/x
  3. Step 3: Cross multiply
    14,221x = 19,615.62 × 9,183.88
  4. Step 4: Simplify right side
    14,221x = 180,147,500.21
  5. Step 5: Solve for x
    x = 180,147,500.21/14,221
  6. Step 6: Final answer
    x = 12,667.71

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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.