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Finding the Fourth Proportional to 2,170.90, 2,995.32 and 1,286.92

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Solution

The fourth proportional to 2,170.90, 2,995.32 and 1,286.92 is: 1,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.90 : 2,995.32 = 1,286.92 : x
  2. Step 2: Convert to fraction form
    2,170.90/2,995.32 = 1,286.92/x
  3. Step 3: Cross multiply
    2,170.90x = 2,995.32 × 1,286.92
  4. Step 4: Simplify right side
    2,170.90x = 3,854,737.21
  5. Step 5: Solve for x
    x = 3,854,737.21/2,170.90
  6. Step 6: Final answer
    x = 1,775.64

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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.