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Finding the Fourth Proportional to 2,005.92, 3,010.14 and 851.58

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Solution

The fourth proportional to 2,005.92, 3,010.14 and 851.58 is: 1,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.92 : 3,010.14 = 851.58 : x
  2. Step 2: Convert to fraction form
    2,005.92/3,010.14 = 851.58/x
  3. Step 3: Cross multiply
    2,005.92x = 3,010.14 × 851.58
  4. Step 4: Simplify right side
    2,005.92x = 2,563,375.02
  5. Step 5: Solve for x
    x = 2,563,375.02/2,005.92
  6. Step 6: Final answer
    x = 1,277.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.