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Finding the Fourth Proportional to 9,101.82, 13,581.74 and 8,121.18

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Solution

The fourth proportional to 9,101.82, 13,581.74 and 8,121.18 is: 12,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.82 : 13,581.74 = 8,121.18 : x
  2. Step 2: Convert to fraction form
    9,101.82/13,581.74 = 8,121.18/x
  3. Step 3: Cross multiply
    9,101.82x = 13,581.74 × 8,121.18
  4. Step 4: Simplify right side
    9,101.82x = 110,299,714.65
  5. Step 5: Solve for x
    x = 110,299,714.65/9,101.82
  6. Step 6: Final answer
    x = 12,118.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.