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Finding the Fourth Proportional to 2,324, 3,206.82 and 1,329.34

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Solution

The fourth proportional to 2,324, 3,206.82 and 1,329.34 is: 1,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324 : 3,206.82 = 1,329.34 : x
  2. Step 2: Convert to fraction form
    2,324/3,206.82 = 1,329.34/x
  3. Step 3: Cross multiply
    2,324x = 3,206.82 × 1,329.34
  4. Step 4: Simplify right side
    2,324x = 4,262,954.10
  5. Step 5: Solve for x
    x = 4,262,954.10/2,324
  6. Step 6: Final answer
    x = 1,834.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.