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Finding the Fourth Proportional to 3,803.72, 5,242.02 and 2,739.68

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Solution

The fourth proportional to 3,803.72, 5,242.02 and 2,739.68 is: 3,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.72 : 5,242.02 = 2,739.68 : x
  2. Step 2: Convert to fraction form
    3,803.72/5,242.02 = 2,739.68/x
  3. Step 3: Cross multiply
    3,803.72x = 5,242.02 × 2,739.68
  4. Step 4: Simplify right side
    3,803.72x = 14,361,457.35
  5. Step 5: Solve for x
    x = 14,361,457.35/3,803.72
  6. Step 6: Final answer
    x = 3,775.63

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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.