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Finding the Fourth Proportional to 2,323.64, 3,206.84 and 1,329

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Solution

The fourth proportional to 2,323.64, 3,206.84 and 1,329 is: 1,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.64 : 3,206.84 = 1,329 : x
  2. Step 2: Convert to fraction form
    2,323.64/3,206.84 = 1,329/x
  3. Step 3: Cross multiply
    2,323.64x = 3,206.84 × 1,329
  4. Step 4: Simplify right side
    2,323.64x = 4,261,890.36
  5. Step 5: Solve for x
    x = 4,261,890.36/2,323.64
  6. Step 6: Final answer
    x = 1,834.14

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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.