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Finding the Fourth Proportional to 2,324.89, 3,487.94 and 681.49

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Solution

The fourth proportional to 2,324.89, 3,487.94 and 681.49 is: 1,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.89 : 3,487.94 = 681.49 : x
  2. Step 2: Convert to fraction form
    2,324.89/3,487.94 = 681.49/x
  3. Step 3: Cross multiply
    2,324.89x = 3,487.94 × 681.49
  4. Step 4: Simplify right side
    2,324.89x = 2,376,992.82
  5. Step 5: Solve for x
    x = 2,376,992.82/2,324.89
  6. Step 6: Final answer
    x = 1,022.41

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1.5x scale

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.