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Finding the Fourth Proportional to 3,768.65, 5,649.81 and 2,381.58

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Solution

The fourth proportional to 3,768.65, 5,649.81 and 2,381.58 is: 3,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.65 : 5,649.81 = 2,381.58 : x
  2. Step 2: Convert to fraction form
    3,768.65/5,649.81 = 2,381.58/x
  3. Step 3: Cross multiply
    3,768.65x = 5,649.81 × 2,381.58
  4. Step 4: Simplify right side
    3,768.65x = 13,455,474.50
  5. Step 5: Solve for x
    x = 13,455,474.50/3,768.65
  6. Step 6: Final answer
    x = 3,570.37

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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.