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Finding the Fourth Proportional to 3,765.52, 5,644.08 and 2,379.84

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Solution

The fourth proportional to 3,765.52, 5,644.08 and 2,379.84 is: 3,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.52 : 5,644.08 = 2,379.84 : x
  2. Step 2: Convert to fraction form
    3,765.52/5,644.08 = 2,379.84/x
  3. Step 3: Cross multiply
    3,765.52x = 5,644.08 × 2,379.84
  4. Step 4: Simplify right side
    3,765.52x = 13,432,007.35
  5. Step 5: Solve for x
    x = 13,432,007.35/3,765.52
  6. Step 6: Final answer
    x = 3,567.11

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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.