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Finding the Fourth Proportional to 8,113.70, 12,170.64 and 2,919.57

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Solution

The fourth proportional to 8,113.70, 12,170.64 and 2,919.57 is: 4,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.70 : 12,170.64 = 2,919.57 : x
  2. Step 2: Convert to fraction form
    8,113.70/12,170.64 = 2,919.57/x
  3. Step 3: Cross multiply
    8,113.70x = 12,170.64 × 2,919.57
  4. Step 4: Simplify right side
    8,113.70x = 35,533,035.42
  5. Step 5: Solve for x
    x = 35,533,035.42/8,113.70
  6. Step 6: Final answer
    x = 4,379.39

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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.