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Finding the Fourth Proportional to 3,911.66, 5,866.80 and 1,571.58

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Solution

The fourth proportional to 3,911.66, 5,866.80 and 1,571.58 is: 2,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.66 : 5,866.80 = 1,571.58 : x
  2. Step 2: Convert to fraction form
    3,911.66/5,866.80 = 1,571.58/x
  3. Step 3: Cross multiply
    3,911.66x = 5,866.80 × 1,571.58
  4. Step 4: Simplify right side
    3,911.66x = 9,220,145.54
  5. Step 5: Solve for x
    x = 9,220,145.54/3,911.66
  6. Step 6: Final answer
    x = 2,357.09

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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.