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Finding the Fourth Proportional to 3,542.51, 4,868.14 and 3,379.90

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Solution

The fourth proportional to 3,542.51, 4,868.14 and 3,379.90 is: 4,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.51 : 4,868.14 = 3,379.90 : x
  2. Step 2: Convert to fraction form
    3,542.51/4,868.14 = 3,379.90/x
  3. Step 3: Cross multiply
    3,542.51x = 4,868.14 × 3,379.90
  4. Step 4: Simplify right side
    3,542.51x = 16,453,855.33
  5. Step 5: Solve for x
    x = 16,453,855.33/3,542.51
  6. Step 6: Final answer
    x = 4,644.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.