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Finding the Fourth Proportional to 1,387.63, 2,082.87 and 1,082.81

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Solution

The fourth proportional to 1,387.63, 2,082.87 and 1,082.81 is: 1,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.63 : 2,082.87 = 1,082.81 : x
  2. Step 2: Convert to fraction form
    1,387.63/2,082.87 = 1,082.81/x
  3. Step 3: Cross multiply
    1,387.63x = 2,082.87 × 1,082.81
  4. Step 4: Simplify right side
    1,387.63x = 2,255,347.05
  5. Step 5: Solve for x
    x = 2,255,347.05/1,387.63
  6. Step 6: Final answer
    x = 1,625.33

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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.