Home / 1,740.32-2,604.83-1,278

Finding the Fourth Proportional to 1,740.32, 2,604.83 and 1,278

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Solution

The fourth proportional to 1,740.32, 2,604.83 and 1,278 is: 1,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.32 : 2,604.83 = 1,278 : x
  2. Step 2: Convert to fraction form
    1,740.32/2,604.83 = 1,278/x
  3. Step 3: Cross multiply
    1,740.32x = 2,604.83 × 1,278
  4. Step 4: Simplify right side
    1,740.32x = 3,328,966.35
  5. Step 5: Solve for x
    x = 3,328,966.35/1,740.32
  6. Step 6: Final answer
    x = 1,912.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.