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Finding the Fourth Proportional to 3,847.65, 5,771.79 and 1,655.85

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Solution

The fourth proportional to 3,847.65, 5,771.79 and 1,655.85 is: 2,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.65 : 5,771.79 = 1,655.85 : x
  2. Step 2: Convert to fraction form
    3,847.65/5,771.79 = 1,655.85/x
  3. Step 3: Cross multiply
    3,847.65x = 5,771.79 × 1,655.85
  4. Step 4: Simplify right side
    3,847.65x = 9,557,218.47
  5. Step 5: Solve for x
    x = 9,557,218.47/3,847.65
  6. Step 6: Final answer
    x = 2,483.91

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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.