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Finding the Fourth Proportional to 1,917.54, 2,878.56 and 994.86

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Solution

The fourth proportional to 1,917.54, 2,878.56 and 994.86 is: 1,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.54 : 2,878.56 = 994.86 : x
  2. Step 2: Convert to fraction form
    1,917.54/2,878.56 = 994.86/x
  3. Step 3: Cross multiply
    1,917.54x = 2,878.56 × 994.86
  4. Step 4: Simplify right side
    1,917.54x = 2,863,764.20
  5. Step 5: Solve for x
    x = 2,863,764.20/1,917.54
  6. Step 6: Final answer
    x = 1,493.46

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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.