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Finding the Fourth Proportional to 2,543.72, 3,815.65 and 812.35

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Solution

The fourth proportional to 2,543.72, 3,815.65 and 812.35 is: 1,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.72 : 3,815.65 = 812.35 : x
  2. Step 2: Convert to fraction form
    2,543.72/3,815.65 = 812.35/x
  3. Step 3: Cross multiply
    2,543.72x = 3,815.65 × 812.35
  4. Step 4: Simplify right side
    2,543.72x = 3,099,631.71
  5. Step 5: Solve for x
    x = 3,099,631.71/2,543.72
  6. Step 6: Final answer
    x = 1,218.54

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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.