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Finding the Fourth Proportional to 2,170.70, 2,994.22 and 1,285.88

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Solution

The fourth proportional to 2,170.70, 2,994.22 and 1,285.88 is: 1,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.70 : 2,994.22 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    2,170.70/2,994.22 = 1,285.88/x
  3. Step 3: Cross multiply
    2,170.70x = 2,994.22 × 1,285.88
  4. Step 4: Simplify right side
    2,170.70x = 3,850,187.02
  5. Step 5: Solve for x
    x = 3,850,187.02/2,170.70
  6. Step 6: Final answer
    x = 1,773.71

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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.