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Finding the Fourth Proportional to 2,324.07, 3,486.07 and 863.21

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Solution

The fourth proportional to 2,324.07, 3,486.07 and 863.21 is: 1,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.07 : 3,486.07 = 863.21 : x
  2. Step 2: Convert to fraction form
    2,324.07/3,486.07 = 863.21/x
  3. Step 3: Cross multiply
    2,324.07x = 3,486.07 × 863.21
  4. Step 4: Simplify right side
    2,324.07x = 3,009,210.48
  5. Step 5: Solve for x
    x = 3,009,210.48/2,324.07
  6. Step 6: Final answer
    x = 1,294.80

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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.