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Finding the Fourth Proportional to 2,110.88, 3,166.32 and 571.88

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Solution

The fourth proportional to 2,110.88, 3,166.32 and 571.88 is: 857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.88 : 3,166.32 = 571.88 : x
  2. Step 2: Convert to fraction form
    2,110.88/3,166.32 = 571.88/x
  3. Step 3: Cross multiply
    2,110.88x = 3,166.32 × 571.88
  4. Step 4: Simplify right side
    2,110.88x = 1,810,739.25
  5. Step 5: Solve for x
    x = 1,810,739.25/2,110.88
  6. Step 6: Final answer
    x = 857.81

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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.