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Finding the Fourth Proportional to 3,758.92, 5,638.31 and 985.77

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Solution

The fourth proportional to 3,758.92, 5,638.31 and 985.77 is: 1,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.92 : 5,638.31 = 985.77 : x
  2. Step 2: Convert to fraction form
    3,758.92/5,638.31 = 985.77/x
  3. Step 3: Cross multiply
    3,758.92x = 5,638.31 × 985.77
  4. Step 4: Simplify right side
    3,758.92x = 5,558,075.62
  5. Step 5: Solve for x
    x = 5,558,075.62/3,758.92
  6. Step 6: Final answer
    x = 1,478.64

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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.