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Finding the Fourth Proportional to 8,147, 11,242.68 and 4,609.64

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Solution

The fourth proportional to 8,147, 11,242.68 and 4,609.64 is: 6,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147 : 11,242.68 = 4,609.64 : x
  2. Step 2: Convert to fraction form
    8,147/11,242.68 = 4,609.64/x
  3. Step 3: Cross multiply
    8,147x = 11,242.68 × 4,609.64
  4. Step 4: Simplify right side
    8,147x = 51,824,707.44
  5. Step 5: Solve for x
    x = 51,824,707.44/8,147
  6. Step 6: Final answer
    x = 6,361.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.