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Finding the Fourth Proportional to 2,543.20, 3,814.62 and 694.42

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Solution

The fourth proportional to 2,543.20, 3,814.62 and 694.42 is: 1,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.20 : 3,814.62 = 694.42 : x
  2. Step 2: Convert to fraction form
    2,543.20/3,814.62 = 694.42/x
  3. Step 3: Cross multiply
    2,543.20x = 3,814.62 × 694.42
  4. Step 4: Simplify right side
    2,543.20x = 2,648,948.42
  5. Step 5: Solve for x
    x = 2,648,948.42/2,543.20
  6. Step 6: Final answer
    x = 1,041.58

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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.