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Finding the Fourth Proportional to 3,769.57, 5,626.79 and 3,491.63

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Solution

The fourth proportional to 3,769.57, 5,626.79 and 3,491.63 is: 5,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.57 : 5,626.79 = 3,491.63 : x
  2. Step 2: Convert to fraction form
    3,769.57/5,626.79 = 3,491.63/x
  3. Step 3: Cross multiply
    3,769.57x = 5,626.79 × 3,491.63
  4. Step 4: Simplify right side
    3,769.57x = 19,646,649.36
  5. Step 5: Solve for x
    x = 19,646,649.36/3,769.57
  6. Step 6: Final answer
    x = 5,211.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.