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Finding the Fourth Proportional to 9,644.33, 13,285.37 and 8,223.39

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Solution

The fourth proportional to 9,644.33, 13,285.37 and 8,223.39 is: 11,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.33 : 13,285.37 = 8,223.39 : x
  2. Step 2: Convert to fraction form
    9,644.33/13,285.37 = 8,223.39/x
  3. Step 3: Cross multiply
    9,644.33x = 13,285.37 × 8,223.39
  4. Step 4: Simplify right side
    9,644.33x = 109,250,778.80
  5. Step 5: Solve for x
    x = 109,250,778.80/9,644.33
  6. Step 6: Final answer
    x = 11,327.98

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Half scale
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Double scale
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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.