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Finding the Fourth Proportional to 2,325.95, 3,209.84 and 1,278

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Solution

The fourth proportional to 2,325.95, 3,209.84 and 1,278 is: 1,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.95 : 3,209.84 = 1,278 : x
  2. Step 2: Convert to fraction form
    2,325.95/3,209.84 = 1,278/x
  3. Step 3: Cross multiply
    2,325.95x = 3,209.84 × 1,278
  4. Step 4: Simplify right side
    2,325.95x = 4,102,169.13
  5. Step 5: Solve for x
    x = 4,102,169.13/2,325.95
  6. Step 6: Final answer
    x = 1,763.66

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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.