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Finding the Fourth Proportional to 8,614.85, 12,914.66 and 5,096.21

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Solution

The fourth proportional to 8,614.85, 12,914.66 and 5,096.21 is: 7,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.85 : 12,914.66 = 5,096.21 : x
  2. Step 2: Convert to fraction form
    8,614.85/12,914.66 = 5,096.21/x
  3. Step 3: Cross multiply
    8,614.85x = 12,914.66 × 5,096.21
  4. Step 4: Simplify right side
    8,614.85x = 65,815,729.38
  5. Step 5: Solve for x
    x = 65,815,729.38/8,614.85
  6. Step 6: Final answer
    x = 7,639.80

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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.