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Finding the Fourth Proportional to 2,780, 3,836.48 and 1,850.24

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Solution

The fourth proportional to 2,780, 3,836.48 and 1,850.24 is: 2,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 3,836.48 = 1,850.24 : x
  2. Step 2: Convert to fraction form
    2,780/3,836.48 = 1,850.24/x
  3. Step 3: Cross multiply
    2,780x = 3,836.48 × 1,850.24
  4. Step 4: Simplify right side
    2,780x = 7,098,408.76
  5. Step 5: Solve for x
    x = 7,098,408.76/2,780
  6. Step 6: Final answer
    x = 2,553.38

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1.5x scale

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.