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Finding the Fourth Proportional to 3,260.76, 4,891.29 and 1,039.83

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Solution

The fourth proportional to 3,260.76, 4,891.29 and 1,039.83 is: 1,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.76 : 4,891.29 = 1,039.83 : x
  2. Step 2: Convert to fraction form
    3,260.76/4,891.29 = 1,039.83/x
  3. Step 3: Cross multiply
    3,260.76x = 4,891.29 × 1,039.83
  4. Step 4: Simplify right side
    3,260.76x = 5,086,095.64
  5. Step 5: Solve for x
    x = 5,086,095.64/3,260.76
  6. Step 6: Final answer
    x = 1,559.79

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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.