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Finding the Fourth Proportional to 3,860.95, 5,786.95 and 1,776.58

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Solution

The fourth proportional to 3,860.95, 5,786.95 and 1,776.58 is: 2,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.95 : 5,786.95 = 1,776.58 : x
  2. Step 2: Convert to fraction form
    3,860.95/5,786.95 = 1,776.58/x
  3. Step 3: Cross multiply
    3,860.95x = 5,786.95 × 1,776.58
  4. Step 4: Simplify right side
    3,860.95x = 10,280,979.63
  5. Step 5: Solve for x
    x = 10,280,979.63/3,860.95
  6. Step 6: Final answer
    x = 2,662.81

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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.