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Finding the Fourth Proportional to 11,245.44, 16,832.79 and 7,714.80

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Solution

The fourth proportional to 11,245.44, 16,832.79 and 7,714.80 is: 11,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.44 : 16,832.79 = 7,714.80 : x
  2. Step 2: Convert to fraction form
    11,245.44/16,832.79 = 7,714.80/x
  3. Step 3: Cross multiply
    11,245.44x = 16,832.79 × 7,714.80
  4. Step 4: Simplify right side
    11,245.44x = 129,861,700.35
  5. Step 5: Solve for x
    x = 129,861,700.35/11,245.44
  6. Step 6: Final answer
    x = 11,547.94

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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.