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Finding the Fourth Proportional to 2,382.87, 3,574.31 and 739.38

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Solution

The fourth proportional to 2,382.87, 3,574.31 and 739.38 is: 1,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.87 : 3,574.31 = 739.38 : x
  2. Step 2: Convert to fraction form
    2,382.87/3,574.31 = 739.38/x
  3. Step 3: Cross multiply
    2,382.87x = 3,574.31 × 739.38
  4. Step 4: Simplify right side
    2,382.87x = 2,642,769.63
  5. Step 5: Solve for x
    x = 2,642,769.63/2,382.87
  6. Step 6: Final answer
    x = 1,109.07

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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.