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Finding the Fourth Proportional to 6,299.72, 9,431.13 and 4,974.21

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Solution

The fourth proportional to 6,299.72, 9,431.13 and 4,974.21 is: 7,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.72 : 9,431.13 = 4,974.21 : x
  2. Step 2: Convert to fraction form
    6,299.72/9,431.13 = 4,974.21/x
  3. Step 3: Cross multiply
    6,299.72x = 9,431.13 × 4,974.21
  4. Step 4: Simplify right side
    6,299.72x = 46,912,439.81
  5. Step 5: Solve for x
    x = 46,912,439.81/6,299.72
  6. Step 6: Final answer
    x = 7,446.74

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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.