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Finding the Fourth Proportional to 2,543.59, 3,812.95 and 811.09

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Solution

The fourth proportional to 2,543.59, 3,812.95 and 811.09 is: 1,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.59 : 3,812.95 = 811.09 : x
  2. Step 2: Convert to fraction form
    2,543.59/3,812.95 = 811.09/x
  3. Step 3: Cross multiply
    2,543.59x = 3,812.95 × 811.09
  4. Step 4: Simplify right side
    2,543.59x = 3,092,645.62
  5. Step 5: Solve for x
    x = 3,092,645.62/2,543.59
  6. Step 6: Final answer
    x = 1,215.86

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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.