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Finding the Fourth Proportional to 2,412.65, 3,618.96 and 681.27

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Solution

The fourth proportional to 2,412.65, 3,618.96 and 681.27 is: 1,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.65 : 3,618.96 = 681.27 : x
  2. Step 2: Convert to fraction form
    2,412.65/3,618.96 = 681.27/x
  3. Step 3: Cross multiply
    2,412.65x = 3,618.96 × 681.27
  4. Step 4: Simplify right side
    2,412.65x = 2,465,491.43
  5. Step 5: Solve for x
    x = 2,465,491.43/2,412.65
  6. Step 6: Final answer
    x = 1,021.90

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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.