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Finding the Fourth Proportional to 8,285.67, 11,431.67 and 4,747.59

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Solution

The fourth proportional to 8,285.67, 11,431.67 and 4,747.59 is: 6,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.67 : 11,431.67 = 4,747.59 : x
  2. Step 2: Convert to fraction form
    8,285.67/11,431.67 = 4,747.59/x
  3. Step 3: Cross multiply
    8,285.67x = 11,431.67 × 4,747.59
  4. Step 4: Simplify right side
    8,285.67x = 54,272,858.44
  5. Step 5: Solve for x
    x = 54,272,858.44/8,285.67
  6. Step 6: Final answer
    x = 6,550.21

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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.