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Finding the Fourth Proportional to 3,739.76, 5,602.46 and 2,091.31

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Solution

The fourth proportional to 3,739.76, 5,602.46 and 2,091.31 is: 3,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.76 : 5,602.46 = 2,091.31 : x
  2. Step 2: Convert to fraction form
    3,739.76/5,602.46 = 2,091.31/x
  3. Step 3: Cross multiply
    3,739.76x = 5,602.46 × 2,091.31
  4. Step 4: Simplify right side
    3,739.76x = 11,716,456.16
  5. Step 5: Solve for x
    x = 11,716,456.16/3,739.76
  6. Step 6: Final answer
    x = 3,132.94

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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.