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Finding the Fourth Proportional to 14,381.28, 19,842.28 and 8,414.41

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Solution

The fourth proportional to 14,381.28, 19,842.28 and 8,414.41 is: 11,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.28 : 19,842.28 = 8,414.41 : x
  2. Step 2: Convert to fraction form
    14,381.28/19,842.28 = 8,414.41/x
  3. Step 3: Cross multiply
    14,381.28x = 19,842.28 × 8,414.41
  4. Step 4: Simplify right side
    14,381.28x = 166,961,079.25
  5. Step 5: Solve for x
    x = 166,961,079.25/14,381.28
  6. Step 6: Final answer
    x = 11,609.61

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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.