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Finding the Fourth Proportional to 2,765.11, 3,815.85 and 1,523.11

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Solution

The fourth proportional to 2,765.11, 3,815.85 and 1,523.11 is: 2,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.11 : 3,815.85 = 1,523.11 : x
  2. Step 2: Convert to fraction form
    2,765.11/3,815.85 = 1,523.11/x
  3. Step 3: Cross multiply
    2,765.11x = 3,815.85 × 1,523.11
  4. Step 4: Simplify right side
    2,765.11x = 5,811,958.34
  5. Step 5: Solve for x
    x = 5,811,958.34/2,765.11
  6. Step 6: Final answer
    x = 2,101.89

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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.