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Finding the Fourth Proportional to 11,680.29, 16,118.54 and 6,375.20

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Solution

The fourth proportional to 11,680.29, 16,118.54 and 6,375.20 is: 8,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.29 : 16,118.54 = 6,375.20 : x
  2. Step 2: Convert to fraction form
    11,680.29/16,118.54 = 6,375.20/x
  3. Step 3: Cross multiply
    11,680.29x = 16,118.54 × 6,375.20
  4. Step 4: Simplify right side
    11,680.29x = 102,758,803.74
  5. Step 5: Solve for x
    x = 102,758,803.74/11,680.29
  6. Step 6: Final answer
    x = 8,797.62

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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.