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Finding the Fourth Proportional to 3,860.49, 5,785.86 and 2,933.25

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Solution

The fourth proportional to 3,860.49, 5,785.86 and 2,933.25 is: 4,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.49 : 5,785.86 = 2,933.25 : x
  2. Step 2: Convert to fraction form
    3,860.49/5,785.86 = 2,933.25/x
  3. Step 3: Cross multiply
    3,860.49x = 5,785.86 × 2,933.25
  4. Step 4: Simplify right side
    3,860.49x = 16,971,373.85
  5. Step 5: Solve for x
    x = 16,971,373.85/3,860.49
  6. Step 6: Final answer
    x = 4,396.17

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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.