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Finding the Fourth Proportional to 2,054.09, 3,080.34 and 737.48

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Solution

The fourth proportional to 2,054.09, 3,080.34 and 737.48 is: 1,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.09 : 3,080.34 = 737.48 : x
  2. Step 2: Convert to fraction form
    2,054.09/3,080.34 = 737.48/x
  3. Step 3: Cross multiply
    2,054.09x = 3,080.34 × 737.48
  4. Step 4: Simplify right side
    2,054.09x = 2,271,673.74
  5. Step 5: Solve for x
    x = 2,271,673.74/2,054.09
  6. Step 6: Final answer
    x = 1,105.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.