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Finding the Fourth Proportional to 8,157.84, 12,228.21 and 3,416.71

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Solution

The fourth proportional to 8,157.84, 12,228.21 and 3,416.71 is: 5,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.84 : 12,228.21 = 3,416.71 : x
  2. Step 2: Convert to fraction form
    8,157.84/12,228.21 = 3,416.71/x
  3. Step 3: Cross multiply
    8,157.84x = 12,228.21 × 3,416.71
  4. Step 4: Simplify right side
    8,157.84x = 41,780,247.39
  5. Step 5: Solve for x
    x = 41,780,247.39/8,157.84
  6. Step 6: Final answer
    x = 5,121.48

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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.