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Finding the Fourth Proportional to 2,543.74, 3,815.97 and 812.50

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Solution

The fourth proportional to 2,543.74, 3,815.97 and 812.50 is: 1,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.74 : 3,815.97 = 812.50 : x
  2. Step 2: Convert to fraction form
    2,543.74/3,815.97 = 812.50/x
  3. Step 3: Cross multiply
    2,543.74x = 3,815.97 × 812.50
  4. Step 4: Simplify right side
    2,543.74x = 3,100,475.63
  5. Step 5: Solve for x
    x = 3,100,475.63/2,543.74
  6. Step 6: Final answer
    x = 1,218.86

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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.