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Finding the Fourth Proportional to 14,381.78, 19,842.97 and 8,414.91

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Solution

The fourth proportional to 14,381.78, 19,842.97 and 8,414.91 is: 11,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.78 : 19,842.97 = 8,414.91 : x
  2. Step 2: Convert to fraction form
    14,381.78/19,842.97 = 8,414.91/x
  3. Step 3: Cross multiply
    14,381.78x = 19,842.97 × 8,414.91
  4. Step 4: Simplify right side
    14,381.78x = 166,976,806.68
  5. Step 5: Solve for x
    x = 166,976,806.68/14,381.78
  6. Step 6: Final answer
    x = 11,610.30

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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.