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Finding the Fourth Proportional to 1,884.90, 2,825.42 and 789.98

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Solution

The fourth proportional to 1,884.90, 2,825.42 and 789.98 is: 1,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.90 : 2,825.42 = 789.98 : x
  2. Step 2: Convert to fraction form
    1,884.90/2,825.42 = 789.98/x
  3. Step 3: Cross multiply
    1,884.90x = 2,825.42 × 789.98
  4. Step 4: Simplify right side
    1,884.90x = 2,232,025.29
  5. Step 5: Solve for x
    x = 2,232,025.29/1,884.90
  6. Step 6: Final answer
    x = 1,184.16

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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.