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Finding the Fourth Proportional to 2,886.92, 3,984.42 and 2,145.80

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Solution

The fourth proportional to 2,886.92, 3,984.42 and 2,145.80 is: 2,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.92 : 3,984.42 = 2,145.80 : x
  2. Step 2: Convert to fraction form
    2,886.92/3,984.42 = 2,145.80/x
  3. Step 3: Cross multiply
    2,886.92x = 3,984.42 × 2,145.80
  4. Step 4: Simplify right side
    2,886.92x = 8,549,768.44
  5. Step 5: Solve for x
    x = 8,549,768.44/2,886.92
  6. Step 6: Final answer
    x = 2,961.55

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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.