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Finding the Fourth Proportional to 2,106.12, 3,179.04 and 2,106.12

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Solution

The fourth proportional to 2,106.12, 3,179.04 and 2,106.12 is: 3,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.12 : 3,179.04 = 2,106.12 : x
  2. Step 2: Convert to fraction form
    2,106.12/3,179.04 = 2,106.12/x
  3. Step 3: Cross multiply
    2,106.12x = 3,179.04 × 2,106.12
  4. Step 4: Simplify right side
    2,106.12x = 6,695,439.72
  5. Step 5: Solve for x
    x = 6,695,439.72/2,106.12
  6. Step 6: Final answer
    x = 3,179.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.