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Finding the Fourth Proportional to 3,910.48, 5,866.16 and 1,571.29

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Solution

The fourth proportional to 3,910.48, 5,866.16 and 1,571.29 is: 2,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.48 : 5,866.16 = 1,571.29 : x
  2. Step 2: Convert to fraction form
    3,910.48/5,866.16 = 1,571.29/x
  3. Step 3: Cross multiply
    3,910.48x = 5,866.16 × 1,571.29
  4. Step 4: Simplify right side
    3,910.48x = 9,217,416.02
  5. Step 5: Solve for x
    x = 9,217,416.02/3,910.48
  6. Step 6: Final answer
    x = 2,357.11

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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.