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Finding the Fourth Proportional to 2,326, 3,209.88 and 1,278.14

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Solution

The fourth proportional to 2,326, 3,209.88 and 1,278.14 is: 1,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326 : 3,209.88 = 1,278.14 : x
  2. Step 2: Convert to fraction form
    2,326/3,209.88 = 1,278.14/x
  3. Step 3: Cross multiply
    2,326x = 3,209.88 × 1,278.14
  4. Step 4: Simplify right side
    2,326x = 4,102,676.02
  5. Step 5: Solve for x
    x = 4,102,676.02/2,326
  6. Step 6: Final answer
    x = 1,763.83

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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.