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Finding the Fourth Proportional to 8,383.50, 11,571.66 and 5,589

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Solution

The fourth proportional to 8,383.50, 11,571.66 and 5,589 is: 7,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.50 : 11,571.66 = 5,589 : x
  2. Step 2: Convert to fraction form
    8,383.50/11,571.66 = 5,589/x
  3. Step 3: Cross multiply
    8,383.50x = 11,571.66 × 5,589
  4. Step 4: Simplify right side
    8,383.50x = 64,674,007.74
  5. Step 5: Solve for x
    x = 64,674,007.74/8,383.50
  6. Step 6: Final answer
    x = 7,714.44

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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.