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Finding the Fourth Proportional to 8,502.33, 11,733 and 4,725.27

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Solution

The fourth proportional to 8,502.33, 11,733 and 4,725.27 is: 6,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.33 : 11,733 = 4,725.27 : x
  2. Step 2: Convert to fraction form
    8,502.33/11,733 = 4,725.27/x
  3. Step 3: Cross multiply
    8,502.33x = 11,733 × 4,725.27
  4. Step 4: Simplify right side
    8,502.33x = 55,441,592.91
  5. Step 5: Solve for x
    x = 55,441,592.91/8,502.33
  6. Step 6: Final answer
    x = 6,520.75

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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.