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Finding the Fourth Proportional to 8,311.68, 12,469.68 and 3,119.04

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Solution

The fourth proportional to 8,311.68, 12,469.68 and 3,119.04 is: 4,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.68 : 12,469.68 = 3,119.04 : x
  2. Step 2: Convert to fraction form
    8,311.68/12,469.68 = 3,119.04/x
  3. Step 3: Cross multiply
    8,311.68x = 12,469.68 × 3,119.04
  4. Step 4: Simplify right side
    8,311.68x = 38,893,430.71
  5. Step 5: Solve for x
    x = 38,893,430.71/8,311.68
  6. Step 6: Final answer
    x = 4,679.37

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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.