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Finding the Fourth Proportional to 2,738.36, 3,780.18 and 1,745

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Solution

The fourth proportional to 2,738.36, 3,780.18 and 1,745 is: 2,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.36 : 3,780.18 = 1,745 : x
  2. Step 2: Convert to fraction form
    2,738.36/3,780.18 = 1,745/x
  3. Step 3: Cross multiply
    2,738.36x = 3,780.18 × 1,745
  4. Step 4: Simplify right side
    2,738.36x = 6,596,414.10
  5. Step 5: Solve for x
    x = 6,596,414.10/2,738.36
  6. Step 6: Final answer
    x = 2,408.89

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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.