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Finding the Fourth Proportional to 9,914.83, 14,874.06 and 8,082.20

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Solution

The fourth proportional to 9,914.83, 14,874.06 and 8,082.20 is: 12,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.83 : 14,874.06 = 8,082.20 : x
  2. Step 2: Convert to fraction form
    9,914.83/14,874.06 = 8,082.20/x
  3. Step 3: Cross multiply
    9,914.83x = 14,874.06 × 8,082.20
  4. Step 4: Simplify right side
    9,914.83x = 120,215,195.23
  5. Step 5: Solve for x
    x = 120,215,195.23/9,914.83
  6. Step 6: Final answer
    x = 12,124.79

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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.