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Finding the Fourth Proportional to 2,325.94, 3,209.81 and 1,278

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Solution

The fourth proportional to 2,325.94, 3,209.81 and 1,278 is: 1,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.94 : 3,209.81 = 1,278 : x
  2. Step 2: Convert to fraction form
    2,325.94/3,209.81 = 1,278/x
  3. Step 3: Cross multiply
    2,325.94x = 3,209.81 × 1,278
  4. Step 4: Simplify right side
    2,325.94x = 4,102,130.79
  5. Step 5: Solve for x
    x = 4,102,130.79/2,325.94
  6. Step 6: Final answer
    x = 1,763.65

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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.