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Finding the Fourth Proportional to 3,758.92, 5,638.38 and 985.36

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Solution

The fourth proportional to 3,758.92, 5,638.38 and 985.36 is: 1,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.92 : 5,638.38 = 985.36 : x
  2. Step 2: Convert to fraction form
    3,758.92/5,638.38 = 985.36/x
  3. Step 3: Cross multiply
    3,758.92x = 5,638.38 × 985.36
  4. Step 4: Simplify right side
    3,758.92x = 5,555,834.12
  5. Step 5: Solve for x
    x = 5,555,834.12/3,758.92
  6. Step 6: Final answer
    x = 1,478.04

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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.