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Finding the Fourth Proportional to 2,543.09, 3,812.21 and 810.59

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Solution

The fourth proportional to 2,543.09, 3,812.21 and 810.59 is: 1,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.09 : 3,812.21 = 810.59 : x
  2. Step 2: Convert to fraction form
    2,543.09/3,812.21 = 810.59/x
  3. Step 3: Cross multiply
    2,543.09x = 3,812.21 × 810.59
  4. Step 4: Simplify right side
    2,543.09x = 3,090,135.25
  5. Step 5: Solve for x
    x = 3,090,135.25/2,543.09
  6. Step 6: Final answer
    x = 1,215.11

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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.