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Finding the Fourth Proportional to 9,990.85, 13,786.39 and 5,514.31

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Solution

The fourth proportional to 9,990.85, 13,786.39 and 5,514.31 is: 7,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.85 : 13,786.39 = 5,514.31 : x
  2. Step 2: Convert to fraction form
    9,990.85/13,786.39 = 5,514.31/x
  3. Step 3: Cross multiply
    9,990.85x = 13,786.39 × 5,514.31
  4. Step 4: Simplify right side
    9,990.85x = 76,022,491.14
  5. Step 5: Solve for x
    x = 76,022,491.14/9,990.85
  6. Step 6: Final answer
    x = 7,609.21

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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.