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Finding the Fourth Proportional to 3,874.64, 5,347.22 and 2,106.20

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Solution

The fourth proportional to 3,874.64, 5,347.22 and 2,106.20 is: 2,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.64 : 5,347.22 = 2,106.20 : x
  2. Step 2: Convert to fraction form
    3,874.64/5,347.22 = 2,106.20/x
  3. Step 3: Cross multiply
    3,874.64x = 5,347.22 × 2,106.20
  4. Step 4: Simplify right side
    3,874.64x = 11,262,317.60
  5. Step 5: Solve for x
    x = 11,262,317.60/3,874.64
  6. Step 6: Final answer
    x = 2,906.68

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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.