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Finding the Fourth Proportional to 2,005.56, 2,992.23 and 1,798.20

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Solution

The fourth proportional to 2,005.56, 2,992.23 and 1,798.20 is: 2,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.56 : 2,992.23 = 1,798.20 : x
  2. Step 2: Convert to fraction form
    2,005.56/2,992.23 = 1,798.20/x
  3. Step 3: Cross multiply
    2,005.56x = 2,992.23 × 1,798.20
  4. Step 4: Simplify right side
    2,005.56x = 5,380,627.99
  5. Step 5: Solve for x
    x = 5,380,627.99/2,005.56
  6. Step 6: Final answer
    x = 2,682.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.