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Finding the Fourth Proportional to 8,383.35, 11,569.94 and 5,195.80

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Solution

The fourth proportional to 8,383.35, 11,569.94 and 5,195.80 is: 7,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.35 : 11,569.94 = 5,195.80 : x
  2. Step 2: Convert to fraction form
    8,383.35/11,569.94 = 5,195.80/x
  3. Step 3: Cross multiply
    8,383.35x = 11,569.94 × 5,195.80
  4. Step 4: Simplify right side
    8,383.35x = 60,115,094.25
  5. Step 5: Solve for x
    x = 60,115,094.25/8,383.35
  6. Step 6: Final answer
    x = 7,170.77

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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.