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Finding the Fourth Proportional to 8,126.56, 12,189.84 and 2,931.22

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Solution

The fourth proportional to 8,126.56, 12,189.84 and 2,931.22 is: 4,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.56 : 12,189.84 = 2,931.22 : x
  2. Step 2: Convert to fraction form
    8,126.56/12,189.84 = 2,931.22/x
  3. Step 3: Cross multiply
    8,126.56x = 12,189.84 × 2,931.22
  4. Step 4: Simplify right side
    8,126.56x = 35,731,102.80
  5. Step 5: Solve for x
    x = 35,731,102.80/8,126.56
  6. Step 6: Final answer
    x = 4,396.83

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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.