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Finding the Fourth Proportional to 2,080.90, 2,865.81 and 2,035.54

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Solution

The fourth proportional to 2,080.90, 2,865.81 and 2,035.54 is: 2,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.90 : 2,865.81 = 2,035.54 : x
  2. Step 2: Convert to fraction form
    2,080.90/2,865.81 = 2,035.54/x
  3. Step 3: Cross multiply
    2,080.90x = 2,865.81 × 2,035.54
  4. Step 4: Simplify right side
    2,080.90x = 5,833,470.89
  5. Step 5: Solve for x
    x = 5,833,470.89/2,080.90
  6. Step 6: Final answer
    x = 2,803.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.