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Finding the Fourth Proportional to 11,899.42, 16,420.92 and 6,863.65

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Solution

The fourth proportional to 11,899.42, 16,420.92 and 6,863.65 is: 9,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.42 : 16,420.92 = 6,863.65 : x
  2. Step 2: Convert to fraction form
    11,899.42/16,420.92 = 6,863.65/x
  3. Step 3: Cross multiply
    11,899.42x = 16,420.92 × 6,863.65
  4. Step 4: Simplify right side
    11,899.42x = 112,707,447.56
  5. Step 5: Solve for x
    x = 112,707,447.56/11,899.42
  6. Step 6: Final answer
    x = 9,471.68

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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.