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Finding the Fourth Proportional to 1,385.94, 2,078.99 and 1,181.94

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Solution

The fourth proportional to 1,385.94, 2,078.99 and 1,181.94 is: 1,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.94 : 2,078.99 = 1,181.94 : x
  2. Step 2: Convert to fraction form
    1,385.94/2,078.99 = 1,181.94/x
  3. Step 3: Cross multiply
    1,385.94x = 2,078.99 × 1,181.94
  4. Step 4: Simplify right side
    1,385.94x = 2,457,241.44
  5. Step 5: Solve for x
    x = 2,457,241.44/1,385.94
  6. Step 6: Final answer
    x = 1,772.98

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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.