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Finding the Fourth Proportional to 2,382.71, 3,574.29 and 738.81

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Solution

The fourth proportional to 2,382.71, 3,574.29 and 738.81 is: 1,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.71 : 3,574.29 = 738.81 : x
  2. Step 2: Convert to fraction form
    2,382.71/3,574.29 = 738.81/x
  3. Step 3: Cross multiply
    2,382.71x = 3,574.29 × 738.81
  4. Step 4: Simplify right side
    2,382.71x = 2,640,717.50
  5. Step 5: Solve for x
    x = 2,640,717.50/2,382.71
  6. Step 6: Final answer
    x = 1,108.29

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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.