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Finding the Fourth Proportional to 14,161.92, 21,221 and 9,416.13

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Solution

The fourth proportional to 14,161.92, 21,221 and 9,416.13 is: 14,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.92 : 21,221 = 9,416.13 : x
  2. Step 2: Convert to fraction form
    14,161.92/21,221 = 9,416.13/x
  3. Step 3: Cross multiply
    14,161.92x = 21,221 × 9,416.13
  4. Step 4: Simplify right side
    14,161.92x = 199,819,694.73
  5. Step 5: Solve for x
    x = 199,819,694.73/14,161.92
  6. Step 6: Final answer
    x = 14,109.65

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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.