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Finding the Fourth Proportional to 2,769.36, 3,820.48 and 1,649.72

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Solution

The fourth proportional to 2,769.36, 3,820.48 and 1,649.72 is: 2,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.36 : 3,820.48 = 1,649.72 : x
  2. Step 2: Convert to fraction form
    2,769.36/3,820.48 = 1,649.72/x
  3. Step 3: Cross multiply
    2,769.36x = 3,820.48 × 1,649.72
  4. Step 4: Simplify right side
    2,769.36x = 6,302,722.27
  5. Step 5: Solve for x
    x = 6,302,722.27/2,769.36
  6. Step 6: Final answer
    x = 2,275.88

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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.