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Finding the Fourth Proportional to 1,868.85, 2,801.99 and 828.29

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Solution

The fourth proportional to 1,868.85, 2,801.99 and 828.29 is: 1,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.85 : 2,801.99 = 828.29 : x
  2. Step 2: Convert to fraction form
    1,868.85/2,801.99 = 828.29/x
  3. Step 3: Cross multiply
    1,868.85x = 2,801.99 × 828.29
  4. Step 4: Simplify right side
    1,868.85x = 2,320,842.15
  5. Step 5: Solve for x
    x = 2,320,842.15/1,868.85
  6. Step 6: Final answer
    x = 1,241.86

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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.