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Finding the Fourth Proportional to 8,199.70, 12,302.62 and 4,915.14

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Solution

The fourth proportional to 8,199.70, 12,302.62 and 4,915.14 is: 7,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.70 : 12,302.62 = 4,915.14 : x
  2. Step 2: Convert to fraction form
    8,199.70/12,302.62 = 4,915.14/x
  3. Step 3: Cross multiply
    8,199.70x = 12,302.62 × 4,915.14
  4. Step 4: Simplify right side
    8,199.70x = 60,469,099.67
  5. Step 5: Solve for x
    x = 60,469,099.67/8,199.70
  6. Step 6: Final answer
    x = 7,374.55

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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.