Home / 1,382.13-2,073.11-408.15

Finding the Fourth Proportional to 1,382.13, 2,073.11 and 408.15

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Solution

The fourth proportional to 1,382.13, 2,073.11 and 408.15 is: 612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.13 : 2,073.11 = 408.15 : x
  2. Step 2: Convert to fraction form
    1,382.13/2,073.11 = 408.15/x
  3. Step 3: Cross multiply
    1,382.13x = 2,073.11 × 408.15
  4. Step 4: Simplify right side
    1,382.13x = 846,137.81
  5. Step 5: Solve for x
    x = 846,137.81/1,382.13
  6. Step 6: Final answer
    x = 612.20

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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.