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Finding the Fourth Proportional to 3,779.74, 5,216.89 and 2,101.74

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Solution

The fourth proportional to 3,779.74, 5,216.89 and 2,101.74 is: 2,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.74 : 5,216.89 = 2,101.74 : x
  2. Step 2: Convert to fraction form
    3,779.74/5,216.89 = 2,101.74/x
  3. Step 3: Cross multiply
    3,779.74x = 5,216.89 × 2,101.74
  4. Step 4: Simplify right side
    3,779.74x = 10,964,546.39
  5. Step 5: Solve for x
    x = 10,964,546.39/3,779.74
  6. Step 6: Final answer
    x = 2,900.87

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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.