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Finding the Fourth Proportional to 11,416, 15,754.44 and 6,380.44

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Solution

The fourth proportional to 11,416, 15,754.44 and 6,380.44 is: 8,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416 : 15,754.44 = 6,380.44 : x
  2. Step 2: Convert to fraction form
    11,416/15,754.44 = 6,380.44/x
  3. Step 3: Cross multiply
    11,416x = 15,754.44 × 6,380.44
  4. Step 4: Simplify right side
    11,416x = 100,520,259.15
  5. Step 5: Solve for x
    x = 100,520,259.15/11,416
  6. Step 6: Final answer
    x = 8,805.21

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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.