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Finding the Fourth Proportional to 5,769.90, 8,642.70 and 3,169.80

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Solution

The fourth proportional to 5,769.90, 8,642.70 and 3,169.80 is: 4,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.90 : 8,642.70 = 3,169.80 : x
  2. Step 2: Convert to fraction form
    5,769.90/8,642.70 = 3,169.80/x
  3. Step 3: Cross multiply
    5,769.90x = 8,642.70 × 3,169.80
  4. Step 4: Simplify right side
    5,769.90x = 27,395,630.46
  5. Step 5: Solve for x
    x = 27,395,630.46/5,769.90
  6. Step 6: Final answer
    x = 4,748.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.