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Finding the Fourth Proportional to 2,110, 3,164.67 and 723.02

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Solution

The fourth proportional to 2,110, 3,164.67 and 723.02 is: 1,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 3,164.67 = 723.02 : x
  2. Step 2: Convert to fraction form
    2,110/3,164.67 = 723.02/x
  3. Step 3: Cross multiply
    2,110x = 3,164.67 × 723.02
  4. Step 4: Simplify right side
    2,110x = 2,288,103.88
  5. Step 5: Solve for x
    x = 2,288,103.88/2,110
  6. Step 6: Final answer
    x = 1,084.41

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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.