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Finding the Fourth Proportional to 3,769.44, 5,649.84 and 1,302.72

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Solution

The fourth proportional to 3,769.44, 5,649.84 and 1,302.72 is: 1,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.44 : 5,649.84 = 1,302.72 : x
  2. Step 2: Convert to fraction form
    3,769.44/5,649.84 = 1,302.72/x
  3. Step 3: Cross multiply
    3,769.44x = 5,649.84 × 1,302.72
  4. Step 4: Simplify right side
    3,769.44x = 7,360,159.56
  5. Step 5: Solve for x
    x = 7,360,159.56/3,769.44
  6. Step 6: Final answer
    x = 1,952.59

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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.