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Finding the Fourth Proportional to 2,109.65, 3,164.47 and 811.42

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Solution

The fourth proportional to 2,109.65, 3,164.47 and 811.42 is: 1,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.65 : 3,164.47 = 811.42 : x
  2. Step 2: Convert to fraction form
    2,109.65/3,164.47 = 811.42/x
  3. Step 3: Cross multiply
    2,109.65x = 3,164.47 × 811.42
  4. Step 4: Simplify right side
    2,109.65x = 2,567,704.31
  5. Step 5: Solve for x
    x = 2,567,704.31/2,109.65
  6. Step 6: Final answer
    x = 1,217.13

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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.