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Finding the Fourth Proportional to 2,329, 3,213.54 and 1,384.36

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Solution

The fourth proportional to 2,329, 3,213.54 and 1,384.36 is: 1,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329 : 3,213.54 = 1,384.36 : x
  2. Step 2: Convert to fraction form
    2,329/3,213.54 = 1,384.36/x
  3. Step 3: Cross multiply
    2,329x = 3,213.54 × 1,384.36
  4. Step 4: Simplify right side
    2,329x = 4,448,696.23
  5. Step 5: Solve for x
    x = 4,448,696.23/2,329
  6. Step 6: Final answer
    x = 1,910.13

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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.