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Finding the Fourth Proportional to 2,543.17, 3,814.71 and 811.75

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Solution

The fourth proportional to 2,543.17, 3,814.71 and 811.75 is: 1,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.17 : 3,814.71 = 811.75 : x
  2. Step 2: Convert to fraction form
    2,543.17/3,814.71 = 811.75/x
  3. Step 3: Cross multiply
    2,543.17x = 3,814.71 × 811.75
  4. Step 4: Simplify right side
    2,543.17x = 3,096,590.84
  5. Step 5: Solve for x
    x = 3,096,590.84/2,543.17
  6. Step 6: Final answer
    x = 1,217.61

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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.