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Finding the Fourth Proportional to 6,465.70, 9,696.48 and 2,082.12

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Solution

The fourth proportional to 6,465.70, 9,696.48 and 2,082.12 is: 3,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.70 : 9,696.48 = 2,082.12 : x
  2. Step 2: Convert to fraction form
    6,465.70/9,696.48 = 2,082.12/x
  3. Step 3: Cross multiply
    6,465.70x = 9,696.48 × 2,082.12
  4. Step 4: Simplify right side
    6,465.70x = 20,189,234.94
  5. Step 5: Solve for x
    x = 20,189,234.94/6,465.70
  6. Step 6: Final answer
    x = 3,122.51

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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.