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Finding the Fourth Proportional to 2,906.44, 4,012.96 and 1,788.88

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Solution

The fourth proportional to 2,906.44, 4,012.96 and 1,788.88 is: 2,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.44 : 4,012.96 = 1,788.88 : x
  2. Step 2: Convert to fraction form
    2,906.44/4,012.96 = 1,788.88/x
  3. Step 3: Cross multiply
    2,906.44x = 4,012.96 × 1,788.88
  4. Step 4: Simplify right side
    2,906.44x = 7,178,703.88
  5. Step 5: Solve for x
    x = 7,178,703.88/2,906.44
  6. Step 6: Final answer
    x = 2,469.93

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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.