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Finding the Fourth Proportional to 14,428.24, 21,642.24 and 8,191.12

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Solution

The fourth proportional to 14,428.24, 21,642.24 and 8,191.12 is: 12,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.24 : 21,642.24 = 8,191.12 : x
  2. Step 2: Convert to fraction form
    14,428.24/21,642.24 = 8,191.12/x
  3. Step 3: Cross multiply
    14,428.24x = 21,642.24 × 8,191.12
  4. Step 4: Simplify right side
    14,428.24x = 177,274,184.91
  5. Step 5: Solve for x
    x = 177,274,184.91/14,428.24
  6. Step 6: Final answer
    x = 12,286.61

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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.