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Finding the Fourth Proportional to 1,382.63, 2,073.81 and 887.73

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Solution

The fourth proportional to 1,382.63, 2,073.81 and 887.73 is: 1,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.63 : 2,073.81 = 887.73 : x
  2. Step 2: Convert to fraction form
    1,382.63/2,073.81 = 887.73/x
  3. Step 3: Cross multiply
    1,382.63x = 2,073.81 × 887.73
  4. Step 4: Simplify right side
    1,382.63x = 1,840,983.35
  5. Step 5: Solve for x
    x = 1,840,983.35/1,382.63
  6. Step 6: Final answer
    x = 1,331.51

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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.