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Finding the Fourth Proportional to 7,633.64, 11,460.72 and 3,938.22

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Solution

The fourth proportional to 7,633.64, 11,460.72 and 3,938.22 is: 5,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.64 : 11,460.72 = 3,938.22 : x
  2. Step 2: Convert to fraction form
    7,633.64/11,460.72 = 3,938.22/x
  3. Step 3: Cross multiply
    7,633.64x = 11,460.72 × 3,938.22
  4. Step 4: Simplify right side
    7,633.64x = 45,134,836.72
  5. Step 5: Solve for x
    x = 45,134,836.72/7,633.64
  6. Step 6: Final answer
    x = 5,912.62

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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.