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Finding the Fourth Proportional to 3,874.68, 5,347.02 and 2,106.27

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Solution

The fourth proportional to 3,874.68, 5,347.02 and 2,106.27 is: 2,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.68 : 5,347.02 = 2,106.27 : x
  2. Step 2: Convert to fraction form
    3,874.68/5,347.02 = 2,106.27/x
  3. Step 3: Cross multiply
    3,874.68x = 5,347.02 × 2,106.27
  4. Step 4: Simplify right side
    3,874.68x = 11,262,267.82
  5. Step 5: Solve for x
    x = 11,262,267.82/3,874.68
  6. Step 6: Final answer
    x = 2,906.63

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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.