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Finding the Fourth Proportional to 3,739.71, 5,610.87 and 1,661.18

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Solution

The fourth proportional to 3,739.71, 5,610.87 and 1,661.18 is: 2,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.71 : 5,610.87 = 1,661.18 : x
  2. Step 2: Convert to fraction form
    3,739.71/5,610.87 = 1,661.18/x
  3. Step 3: Cross multiply
    3,739.71x = 5,610.87 × 1,661.18
  4. Step 4: Simplify right side
    3,739.71x = 9,320,636.97
  5. Step 5: Solve for x
    x = 9,320,636.97/3,739.71
  6. Step 6: Final answer
    x = 2,492.34

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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.